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Finding the Third Proportional to 125,616 and 170,577

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Solution

The third proportional to 125,616 and 170,577 is: 231,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,616 : 170,577 = 170,577 : x
  2. Step 2: Convert to fraction form
    125,616/170,577 = 170,577/x
  3. Step 3: Cross multiply
    125,616x = 170,577 × 170,577
  4. Step 4: Simplify right side
    125,616x = 29,096,512,929
  5. Step 5: Solve for x
    x = 29,096,512,929/125,616
  6. Step 6: Final answer
    x = 231,630.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.