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Finding the Third Proportional to 63,598 and 138,122

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Solution

The third proportional to 63,598 and 138,122 is: 299,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,598 : 138,122 = 138,122 : x
  2. Step 2: Convert to fraction form
    63,598/138,122 = 138,122/x
  3. Step 3: Cross multiply
    63,598x = 138,122 × 138,122
  4. Step 4: Simplify right side
    63,598x = 19,077,686,884
  5. Step 5: Solve for x
    x = 19,077,686,884/63,598
  6. Step 6: Final answer
    x = 299,973.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.