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Finding the Third Proportional to 114,213.38 and 168,009.19

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Solution

The third proportional to 114,213.38 and 168,009.19 is: 247,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,213.38 : 168,009.19 = 168,009.19 : x
  2. Step 2: Convert to fraction form
    114,213.38/168,009.19 = 168,009.19/x
  3. Step 3: Cross multiply
    114,213.38x = 168,009.19 × 168,009.19
  4. Step 4: Simplify right side
    114,213.38x = 28,227,087,084.41
  5. Step 5: Solve for x
    x = 28,227,087,084.41/114,213.38
  6. Step 6: Final answer
    x = 247,143.45

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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.