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Finding the Third Proportional to 126,076 and 269,992

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Solution

The third proportional to 126,076 and 269,992 is: 578,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,076 : 269,992 = 269,992 : x
  2. Step 2: Convert to fraction form
    126,076/269,992 = 269,992/x
  3. Step 3: Cross multiply
    126,076x = 269,992 × 269,992
  4. Step 4: Simplify right side
    126,076x = 72,895,680,064
  5. Step 5: Solve for x
    x = 72,895,680,064/126,076
  6. Step 6: Final answer
    x = 578,188.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.