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Finding the Third Proportional to 27,126 and 63,375

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Solution

The third proportional to 27,126 and 63,375 is: 148,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126 : 63,375 = 63,375 : x
  2. Step 2: Convert to fraction form
    27,126/63,375 = 63,375/x
  3. Step 3: Cross multiply
    27,126x = 63,375 × 63,375
  4. Step 4: Simplify right side
    27,126x = 4,016,390,625
  5. Step 5: Solve for x
    x = 4,016,390,625/27,126
  6. Step 6: Final answer
    x = 148,064.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.