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Finding the Third Proportional to 87,340.50 and 187,146

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Solution

The third proportional to 87,340.50 and 187,146 is: 401,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,340.50 : 187,146 = 187,146 : x
  2. Step 2: Convert to fraction form
    87,340.50/187,146 = 187,146/x
  3. Step 3: Cross multiply
    87,340.50x = 187,146 × 187,146
  4. Step 4: Simplify right side
    87,340.50x = 35,023,625,316
  5. Step 5: Solve for x
    x = 35,023,625,316/87,340.50
  6. Step 6: Final answer
    x = 401,000.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.