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Finding the Third Proportional to 54,142 and 83,327

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Solution

The third proportional to 54,142 and 83,327 is: 128,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142 : 83,327 = 83,327 : x
  2. Step 2: Convert to fraction form
    54,142/83,327 = 83,327/x
  3. Step 3: Cross multiply
    54,142x = 83,327 × 83,327
  4. Step 4: Simplify right side
    54,142x = 6,943,388,929
  5. Step 5: Solve for x
    x = 6,943,388,929/54,142
  6. Step 6: Final answer
    x = 128,244.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.