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Finding the Third Proportional to 63,956 and 89,434

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Solution

The third proportional to 63,956 and 89,434 is: 125,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,956 : 89,434 = 89,434 : x
  2. Step 2: Convert to fraction form
    63,956/89,434 = 89,434/x
  3. Step 3: Cross multiply
    63,956x = 89,434 × 89,434
  4. Step 4: Simplify right side
    63,956x = 7,998,440,356
  5. Step 5: Solve for x
    x = 7,998,440,356/63,956
  6. Step 6: Final answer
    x = 125,061.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.