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Finding the Third Proportional to 62,665 and 129,483

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Solution

The third proportional to 62,665 and 129,483 is: 267,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,665 : 129,483 = 129,483 : x
  2. Step 2: Convert to fraction form
    62,665/129,483 = 129,483/x
  3. Step 3: Cross multiply
    62,665x = 129,483 × 129,483
  4. Step 4: Simplify right side
    62,665x = 16,765,847,289
  5. Step 5: Solve for x
    x = 16,765,847,289/62,665
  6. Step 6: Final answer
    x = 267,547.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.