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Finding the Third Proportional to 83,859.50 and 124,646

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Solution

The third proportional to 83,859.50 and 124,646 is: 185,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,859.50 : 124,646 = 124,646 : x
  2. Step 2: Convert to fraction form
    83,859.50/124,646 = 124,646/x
  3. Step 3: Cross multiply
    83,859.50x = 124,646 × 124,646
  4. Step 4: Simplify right side
    83,859.50x = 15,536,625,316
  5. Step 5: Solve for x
    x = 15,536,625,316/83,859.50
  6. Step 6: Final answer
    x = 185,269.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.