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Finding the Third Proportional to 54,168 and 83,711

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Solution

The third proportional to 54,168 and 83,711 is: 129,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,168 : 83,711 = 83,711 : x
  2. Step 2: Convert to fraction form
    54,168/83,711 = 83,711/x
  3. Step 3: Cross multiply
    54,168x = 83,711 × 83,711
  4. Step 4: Simplify right side
    54,168x = 7,007,531,521
  5. Step 5: Solve for x
    x = 7,007,531,521/54,168
  6. Step 6: Final answer
    x = 129,366.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.