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Finding the Third Proportional to 63,719.50 and 89,122

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Solution

The third proportional to 63,719.50 and 89,122 is: 124,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,719.50 : 89,122 = 89,122 : x
  2. Step 2: Convert to fraction form
    63,719.50/89,122 = 89,122/x
  3. Step 3: Cross multiply
    63,719.50x = 89,122 × 89,122
  4. Step 4: Simplify right side
    63,719.50x = 7,942,730,884
  5. Step 5: Solve for x
    x = 7,942,730,884/63,719.50
  6. Step 6: Final answer
    x = 124,651.49

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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.