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Finding the Third Proportional to 87,414.75 and 187,573.50

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Solution

The third proportional to 87,414.75 and 187,573.50 is: 402,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414.75 : 187,573.50 = 187,573.50 : x
  2. Step 2: Convert to fraction form
    87,414.75/187,573.50 = 187,573.50/x
  3. Step 3: Cross multiply
    87,414.75x = 187,573.50 × 187,573.50
  4. Step 4: Simplify right side
    87,414.75x = 35,183,817,902.25
  5. Step 5: Solve for x
    x = 35,183,817,902.25/87,414.75
  6. Step 6: Final answer
    x = 402,492.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.