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Finding the Third Proportional to 62,008.50 and 133,677

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Solution

The third proportional to 62,008.50 and 133,677 is: 288,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,008.50 : 133,677 = 133,677 : x
  2. Step 2: Convert to fraction form
    62,008.50/133,677 = 133,677/x
  3. Step 3: Cross multiply
    62,008.50x = 133,677 × 133,677
  4. Step 4: Simplify right side
    62,008.50x = 17,869,540,329
  5. Step 5: Solve for x
    x = 17,869,540,329/62,008.50
  6. Step 6: Final answer
    x = 288,178.88

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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.