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Finding the Third Proportional to 47,352.50 and 78,910.50

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Solution

The third proportional to 47,352.50 and 78,910.50 is: 131,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352.50 : 78,910.50 = 78,910.50 : x
  2. Step 2: Convert to fraction form
    47,352.50/78,910.50 = 78,910.50/x
  3. Step 3: Cross multiply
    47,352.50x = 78,910.50 × 78,910.50
  4. Step 4: Simplify right side
    47,352.50x = 6,226,867,010.25
  5. Step 5: Solve for x
    x = 6,226,867,010.25/47,352.50
  6. Step 6: Final answer
    x = 131,500.28

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.