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Finding the Third Proportional to 63,528 and 138,344

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Solution

The third proportional to 63,528 and 138,344 is: 301,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,528 : 138,344 = 138,344 : x
  2. Step 2: Convert to fraction form
    63,528/138,344 = 138,344/x
  3. Step 3: Cross multiply
    63,528x = 138,344 × 138,344
  4. Step 4: Simplify right side
    63,528x = 19,139,062,336
  5. Step 5: Solve for x
    x = 19,139,062,336/63,528
  6. Step 6: Final answer
    x = 301,269.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.