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Finding the Third Proportional to 62,568 and 135,207

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Solution

The third proportional to 62,568 and 135,207 is: 292,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,568 : 135,207 = 135,207 : x
  2. Step 2: Convert to fraction form
    62,568/135,207 = 135,207/x
  3. Step 3: Cross multiply
    62,568x = 135,207 × 135,207
  4. Step 4: Simplify right side
    62,568x = 18,280,932,849
  5. Step 5: Solve for x
    x = 18,280,932,849/62,568
  6. Step 6: Final answer
    x = 292,177.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.