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Finding the Third Proportional to 83,274.75 and 109,333.13

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Solution

The third proportional to 83,274.75 and 109,333.13 is: 143,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.75 : 109,333.13 = 109,333.13 : x
  2. Step 2: Convert to fraction form
    83,274.75/109,333.13 = 109,333.13/x
  3. Step 3: Cross multiply
    83,274.75x = 109,333.13 × 109,333.13
  4. Step 4: Simplify right side
    83,274.75x = 11,953,732,222.27
  5. Step 5: Solve for x
    x = 11,953,732,222.27/83,274.75
  6. Step 6: Final answer
    x = 143,545.70

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.