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Finding the Third Proportional to 71,564 and 94,134

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Solution

The third proportional to 71,564 and 94,134 is: 123,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564 : 94,134 = 94,134 : x
  2. Step 2: Convert to fraction form
    71,564/94,134 = 94,134/x
  3. Step 3: Cross multiply
    71,564x = 94,134 × 94,134
  4. Step 4: Simplify right side
    71,564x = 8,861,209,956
  5. Step 5: Solve for x
    x = 8,861,209,956/71,564
  6. Step 6: Final answer
    x = 123,822.17

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.