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Finding the Third Proportional to 63,138 and 136,291

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Solution

The third proportional to 63,138 and 136,291 is: 294,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,138 : 136,291 = 136,291 : x
  2. Step 2: Convert to fraction form
    63,138/136,291 = 136,291/x
  3. Step 3: Cross multiply
    63,138x = 136,291 × 136,291
  4. Step 4: Simplify right side
    63,138x = 18,575,236,681
  5. Step 5: Solve for x
    x = 18,575,236,681/63,138
  6. Step 6: Final answer
    x = 294,200.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.