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Finding the Third Proportional to 63,711 and 89,131.50

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Solution

The third proportional to 63,711 and 89,131.50 is: 124,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,711 : 89,131.50 = 89,131.50 : x
  2. Step 2: Convert to fraction form
    63,711/89,131.50 = 89,131.50/x
  3. Step 3: Cross multiply
    63,711x = 89,131.50 × 89,131.50
  4. Step 4: Simplify right side
    63,711x = 7,944,424,292.25
  5. Step 5: Solve for x
    x = 7,944,424,292.25/63,711
  6. Step 6: Final answer
    x = 124,694.70

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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.