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Finding the Third Proportional to 54,342 and 83,625

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Solution

The third proportional to 54,342 and 83,625 is: 128,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342 : 83,625 = 83,625 : x
  2. Step 2: Convert to fraction form
    54,342/83,625 = 83,625/x
  3. Step 3: Cross multiply
    54,342x = 83,625 × 83,625
  4. Step 4: Simplify right side
    54,342x = 6,993,140,625
  5. Step 5: Solve for x
    x = 6,993,140,625/54,342
  6. Step 6: Final answer
    x = 128,687.58

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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.