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Finding the Third Proportional to 71,040 and 94,774.50

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Solution

The third proportional to 71,040 and 94,774.50 is: 126,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,040 : 94,774.50 = 94,774.50 : x
  2. Step 2: Convert to fraction form
    71,040/94,774.50 = 94,774.50/x
  3. Step 3: Cross multiply
    71,040x = 94,774.50 × 94,774.50
  4. Step 4: Simplify right side
    71,040x = 8,982,205,850.25
  5. Step 5: Solve for x
    x = 8,982,205,850.25/71,040
  6. Step 6: Final answer
    x = 126,438.71

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Why These Related Problems?

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