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Finding the Third Proportional to 55,418 and 83,780

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Solution

The third proportional to 55,418 and 83,780 is: 126,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,418 : 83,780 = 83,780 : x
  2. Step 2: Convert to fraction form
    55,418/83,780 = 83,780/x
  3. Step 3: Cross multiply
    55,418x = 83,780 × 83,780
  4. Step 4: Simplify right side
    55,418x = 7,019,088,400
  5. Step 5: Solve for x
    x = 7,019,088,400/55,418
  6. Step 6: Final answer
    x = 126,657.19

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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.