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Finding the Third Proportional to 63,716 and 89,138

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Solution

The third proportional to 63,716 and 89,138 is: 124,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,716 : 89,138 = 89,138 : x
  2. Step 2: Convert to fraction form
    63,716/89,138 = 89,138/x
  3. Step 3: Cross multiply
    63,716x = 89,138 × 89,138
  4. Step 4: Simplify right side
    63,716x = 7,945,583,044
  5. Step 5: Solve for x
    x = 7,945,583,044/63,716
  6. Step 6: Final answer
    x = 124,703.11

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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.