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Finding the Third Proportional to 63,442 and 138,182

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Solution

The third proportional to 63,442 and 138,182 is: 300,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,442 : 138,182 = 138,182 : x
  2. Step 2: Convert to fraction form
    63,442/138,182 = 138,182/x
  3. Step 3: Cross multiply
    63,442x = 138,182 × 138,182
  4. Step 4: Simplify right side
    63,442x = 19,094,265,124
  5. Step 5: Solve for x
    x = 19,094,265,124/63,442
  6. Step 6: Final answer
    x = 300,971.99

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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.