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Finding the Third Proportional to 127,135.50 and 172,665

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Solution

The third proportional to 127,135.50 and 172,665 is: 234,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,135.50 : 172,665 = 172,665 : x
  2. Step 2: Convert to fraction form
    127,135.50/172,665 = 172,665/x
  3. Step 3: Cross multiply
    127,135.50x = 172,665 × 172,665
  4. Step 4: Simplify right side
    127,135.50x = 29,813,202,225
  5. Step 5: Solve for x
    x = 29,813,202,225/127,135.50
  6. Step 6: Final answer
    x = 234,499.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.