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Finding the Third Proportional to 63,960 and 89,464

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Solution

The third proportional to 63,960 and 89,464 is: 125,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,960 : 89,464 = 89,464 : x
  2. Step 2: Convert to fraction form
    63,960/89,464 = 89,464/x
  3. Step 3: Cross multiply
    63,960x = 89,464 × 89,464
  4. Step 4: Simplify right side
    63,960x = 8,003,807,296
  5. Step 5: Solve for x
    x = 8,003,807,296/63,960
  6. Step 6: Final answer
    x = 125,137.70

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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.