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Finding the Third Proportional to 62,575 and 129,585

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Solution

The third proportional to 62,575 and 129,585 is: 268,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,575 : 129,585 = 129,585 : x
  2. Step 2: Convert to fraction form
    62,575/129,585 = 129,585/x
  3. Step 3: Cross multiply
    62,575x = 129,585 × 129,585
  4. Step 4: Simplify right side
    62,575x = 16,792,272,225
  5. Step 5: Solve for x
    x = 16,792,272,225/62,575
  6. Step 6: Final answer
    x = 268,354.33

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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.