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Finding the Third Proportional to 71,127 and 152,375

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Solution

The third proportional to 71,127 and 152,375 is: 326,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127 : 152,375 = 152,375 : x
  2. Step 2: Convert to fraction form
    71,127/152,375 = 152,375/x
  3. Step 3: Cross multiply
    71,127x = 152,375 × 152,375
  4. Step 4: Simplify right side
    71,127x = 23,218,140,625
  5. Step 5: Solve for x
    x = 23,218,140,625/71,127
  6. Step 6: Final answer
    x = 326,432.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.