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Finding the Third Proportional to 83,117.25 and 124,643.50

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Solution

The third proportional to 83,117.25 and 124,643.50 is: 186,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.25 : 124,643.50 = 124,643.50 : x
  2. Step 2: Convert to fraction form
    83,117.25/124,643.50 = 124,643.50/x
  3. Step 3: Cross multiply
    83,117.25x = 124,643.50 × 124,643.50
  4. Step 4: Simplify right side
    83,117.25x = 15,536,002,092.25
  5. Step 5: Solve for x
    x = 15,536,002,092.25/83,117.25
  6. Step 6: Final answer
    x = 186,916.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.