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Finding the Third Proportional to 63,272 and 136,576

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Solution

The third proportional to 63,272 and 136,576 is: 294,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,272 : 136,576 = 136,576 : x
  2. Step 2: Convert to fraction form
    63,272/136,576 = 136,576/x
  3. Step 3: Cross multiply
    63,272x = 136,576 × 136,576
  4. Step 4: Simplify right side
    63,272x = 18,653,003,776
  5. Step 5: Solve for x
    x = 18,653,003,776/63,272
  6. Step 6: Final answer
    x = 294,806.61

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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.