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Finding the Third Proportional to 125,481 and 275,840

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Solution

The third proportional to 125,481 and 275,840 is: 606,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,481 : 275,840 = 275,840 : x
  2. Step 2: Convert to fraction form
    125,481/275,840 = 275,840/x
  3. Step 3: Cross multiply
    125,481x = 275,840 × 275,840
  4. Step 4: Simplify right side
    125,481x = 76,087,705,600
  5. Step 5: Solve for x
    x = 76,087,705,600/125,481
  6. Step 6: Final answer
    x = 606,368.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.