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Finding the Third Proportional to 114,531.75 and 168,460.13

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Solution

The third proportional to 114,531.75 and 168,460.13 is: 247,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531.75 : 168,460.13 = 168,460.13 : x
  2. Step 2: Convert to fraction form
    114,531.75/168,460.13 = 168,460.13/x
  3. Step 3: Cross multiply
    114,531.75x = 168,460.13 × 168,460.13
  4. Step 4: Simplify right side
    114,531.75x = 28,378,813,715.02
  5. Step 5: Solve for x
    x = 28,378,813,715.02/114,531.75
  6. Step 6: Final answer
    x = 247,781.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.