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Finding the Third Proportional to 83,019.94 and 131,252.06

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Solution

The third proportional to 83,019.94 and 131,252.06 is: 207,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019.94 : 131,252.06 = 131,252.06 : x
  2. Step 2: Convert to fraction form
    83,019.94/131,252.06 = 131,252.06/x
  3. Step 3: Cross multiply
    83,019.94x = 131,252.06 × 131,252.06
  4. Step 4: Simplify right side
    83,019.94x = 17,227,103,910.50
  5. Step 5: Solve for x
    x = 17,227,103,910.50/83,019.94
  6. Step 6: Final answer
    x = 207,505.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.