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Finding the Third Proportional to 63,304.31 and 138,372.19

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Solution

The third proportional to 63,304.31 and 138,372.19 is: 302,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,304.31 : 138,372.19 = 138,372.19 : x
  2. Step 2: Convert to fraction form
    63,304.31/138,372.19 = 138,372.19/x
  3. Step 3: Cross multiply
    63,304.31x = 138,372.19 × 138,372.19
  4. Step 4: Simplify right side
    63,304.31x = 19,146,862,273.54
  5. Step 5: Solve for x
    x = 19,146,862,273.54/63,304.31
  6. Step 6: Final answer
    x = 302,457.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.