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Finding the Third Proportional to 54,414.28 and 83,184.47

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Solution

The third proportional to 54,414.28 and 83,184.47 is: 127,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,414.28 : 83,184.47 = 83,184.47 : x
  2. Step 2: Convert to fraction form
    54,414.28/83,184.47 = 83,184.47/x
  3. Step 3: Cross multiply
    54,414.28x = 83,184.47 × 83,184.47
  4. Step 4: Simplify right side
    54,414.28x = 6,919,655,841.22
  5. Step 5: Solve for x
    x = 6,919,655,841.22/54,414.28
  6. Step 6: Final answer
    x = 127,166.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.