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Finding the Third Proportional to 81,874.13 and 130,192.31

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Solution

The third proportional to 81,874.13 and 130,192.31 is: 207,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.13 : 130,192.31 = 130,192.31 : x
  2. Step 2: Convert to fraction form
    81,874.13/130,192.31 = 130,192.31/x
  3. Step 3: Cross multiply
    81,874.13x = 130,192.31 × 130,192.31
  4. Step 4: Simplify right side
    81,874.13x = 16,950,038,234.10
  5. Step 5: Solve for x
    x = 16,950,038,234.10/81,874.13
  6. Step 6: Final answer
    x = 207,025.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.