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Finding the Third Proportional to 124,987.50 and 188,586

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Solution

The third proportional to 124,987.50 and 188,586 is: 284,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,987.50 : 188,586 = 188,586 : x
  2. Step 2: Convert to fraction form
    124,987.50/188,586 = 188,586/x
  3. Step 3: Cross multiply
    124,987.50x = 188,586 × 188,586
  4. Step 4: Simplify right side
    124,987.50x = 35,564,679,396
  5. Step 5: Solve for x
    x = 35,564,679,396/124,987.50
  6. Step 6: Final answer
    x = 284,545.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.