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Finding the Third Proportional to 125,394 and 274,116

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Solution

The third proportional to 125,394 and 274,116 is: 599,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,394 : 274,116 = 274,116 : x
  2. Step 2: Convert to fraction form
    125,394/274,116 = 274,116/x
  3. Step 3: Cross multiply
    125,394x = 274,116 × 274,116
  4. Step 4: Simplify right side
    125,394x = 75,139,581,456
  5. Step 5: Solve for x
    x = 75,139,581,456/125,394
  6. Step 6: Final answer
    x = 599,227.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.