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Finding the Third Proportional to 60,161 and 88,189.50

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Solution

The third proportional to 60,161 and 88,189.50 is: 129,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,161 : 88,189.50 = 88,189.50 : x
  2. Step 2: Convert to fraction form
    60,161/88,189.50 = 88,189.50/x
  3. Step 3: Cross multiply
    60,161x = 88,189.50 × 88,189.50
  4. Step 4: Simplify right side
    60,161x = 7,777,387,910.25
  5. Step 5: Solve for x
    x = 7,777,387,910.25/60,161
  6. Step 6: Final answer
    x = 129,276.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.