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Finding the Third Proportional to 114,672 and 168,636

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Solution

The third proportional to 114,672 and 168,636 is: 247,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,672 : 168,636 = 168,636 : x
  2. Step 2: Convert to fraction form
    114,672/168,636 = 168,636/x
  3. Step 3: Cross multiply
    114,672x = 168,636 × 168,636
  4. Step 4: Simplify right side
    114,672x = 28,438,100,496
  5. Step 5: Solve for x
    x = 28,438,100,496/114,672
  6. Step 6: Final answer
    x = 247,995.16

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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.