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Finding the Third Proportional to 126,747 and 273,359

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Solution

The third proportional to 126,747 and 273,359 is: 589,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,747 : 273,359 = 273,359 : x
  2. Step 2: Convert to fraction form
    126,747/273,359 = 273,359/x
  3. Step 3: Cross multiply
    126,747x = 273,359 × 273,359
  4. Step 4: Simplify right side
    126,747x = 74,725,142,881
  5. Step 5: Solve for x
    x = 74,725,142,881/126,747
  6. Step 6: Final answer
    x = 589,561.43

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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.