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Finding the Third Proportional to 126,444 and 291,972

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Solution

The third proportional to 126,444 and 291,972 is: 674,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,444 : 291,972 = 291,972 : x
  2. Step 2: Convert to fraction form
    126,444/291,972 = 291,972/x
  3. Step 3: Cross multiply
    126,444x = 291,972 × 291,972
  4. Step 4: Simplify right side
    126,444x = 85,247,648,784
  5. Step 5: Solve for x
    x = 85,247,648,784/126,444
  6. Step 6: Final answer
    x = 674,192.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.