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Finding the Third Proportional to 71,419.50 and 94,807.69

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Solution

The third proportional to 71,419.50 and 94,807.69 is: 125,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.50 : 94,807.69 = 94,807.69 : x
  2. Step 2: Convert to fraction form
    71,419.50/94,807.69 = 94,807.69/x
  3. Step 3: Cross multiply
    71,419.50x = 94,807.69 × 94,807.69
  4. Step 4: Simplify right side
    71,419.50x = 8,988,497,609.10
  5. Step 5: Solve for x
    x = 8,988,497,609.10/71,419.50
  6. Step 6: Final answer
    x = 125,854.95

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.