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Finding the Third Proportional to 83,131.50 and 125,569.50

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Solution

The third proportional to 83,131.50 and 125,569.50 is: 189,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,131.50 : 125,569.50 = 125,569.50 : x
  2. Step 2: Convert to fraction form
    83,131.50/125,569.50 = 125,569.50/x
  3. Step 3: Cross multiply
    83,131.50x = 125,569.50 × 125,569.50
  4. Step 4: Simplify right side
    83,131.50x = 15,767,699,330.25
  5. Step 5: Solve for x
    x = 15,767,699,330.25/83,131.50
  6. Step 6: Final answer
    x = 189,671.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.