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Finding the Third Proportional to 60,522 and 128,325

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Solution

The third proportional to 60,522 and 128,325 is: 272,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,522 : 128,325 = 128,325 : x
  2. Step 2: Convert to fraction form
    60,522/128,325 = 128,325/x
  3. Step 3: Cross multiply
    60,522x = 128,325 × 128,325
  4. Step 4: Simplify right side
    60,522x = 16,467,305,625
  5. Step 5: Solve for x
    x = 16,467,305,625/60,522
  6. Step 6: Final answer
    x = 272,087.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.