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Finding the Third Proportional to 101,227.50 and 151,281

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Solution

The third proportional to 101,227.50 and 151,281 is: 226,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,227.50 : 151,281 = 151,281 : x
  2. Step 2: Convert to fraction form
    101,227.50/151,281 = 151,281/x
  3. Step 3: Cross multiply
    101,227.50x = 151,281 × 151,281
  4. Step 4: Simplify right side
    101,227.50x = 22,885,940,961
  5. Step 5: Solve for x
    x = 22,885,940,961/101,227.50
  6. Step 6: Final answer
    x = 226,084.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.