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Finding the Third Proportional to 72,414.50 and 101,165

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Solution

The third proportional to 72,414.50 and 101,165 is: 141,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414.50 : 101,165 = 101,165 : x
  2. Step 2: Convert to fraction form
    72,414.50/101,165 = 101,165/x
  3. Step 3: Cross multiply
    72,414.50x = 101,165 × 101,165
  4. Step 4: Simplify right side
    72,414.50x = 10,234,357,225
  5. Step 5: Solve for x
    x = 10,234,357,225/72,414.50
  6. Step 6: Final answer
    x = 141,330.22

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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.