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Finding the Third Proportional to 60,291 and 128,577

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Solution

The third proportional to 60,291 and 128,577 is: 274,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,291 : 128,577 = 128,577 : x
  2. Step 2: Convert to fraction form
    60,291/128,577 = 128,577/x
  3. Step 3: Cross multiply
    60,291x = 128,577 × 128,577
  4. Step 4: Simplify right side
    60,291x = 16,532,044,929
  5. Step 5: Solve for x
    x = 16,532,044,929/60,291
  6. Step 6: Final answer
    x = 274,204.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.