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Finding the Third Proportional to 83,448 and 131,140

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Solution

The third proportional to 83,448 and 131,140 is: 206,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,448 : 131,140 = 131,140 : x
  2. Step 2: Convert to fraction form
    83,448/131,140 = 131,140/x
  3. Step 3: Cross multiply
    83,448x = 131,140 × 131,140
  4. Step 4: Simplify right side
    83,448x = 17,197,699,600
  5. Step 5: Solve for x
    x = 17,197,699,600/83,448
  6. Step 6: Final answer
    x = 206,088.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.