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Finding the Third Proportional to 32,060 and 68,552

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Solution

The third proportional to 32,060 and 68,552 is: 146,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,060 : 68,552 = 68,552 : x
  2. Step 2: Convert to fraction form
    32,060/68,552 = 68,552/x
  3. Step 3: Cross multiply
    32,060x = 68,552 × 68,552
  4. Step 4: Simplify right side
    32,060x = 4,699,376,704
  5. Step 5: Solve for x
    x = 4,699,376,704/32,060
  6. Step 6: Final answer
    x = 146,580.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.