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Finding the Third Proportional to 125,014 and 269,577

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Solution

The third proportional to 125,014 and 269,577 is: 581,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,014 : 269,577 = 269,577 : x
  2. Step 2: Convert to fraction form
    125,014/269,577 = 269,577/x
  3. Step 3: Cross multiply
    125,014x = 269,577 × 269,577
  4. Step 4: Simplify right side
    125,014x = 72,671,758,929
  5. Step 5: Solve for x
    x = 72,671,758,929/125,014
  6. Step 6: Final answer
    x = 581,308.96

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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.