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Finding the Third Proportional to 126,750 and 273,368

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Solution

The third proportional to 126,750 and 273,368 is: 589,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,750 : 273,368 = 273,368 : x
  2. Step 2: Convert to fraction form
    126,750/273,368 = 273,368/x
  3. Step 3: Cross multiply
    126,750x = 273,368 × 273,368
  4. Step 4: Simplify right side
    126,750x = 74,730,063,424
  5. Step 5: Solve for x
    x = 74,730,063,424/126,750
  6. Step 6: Final answer
    x = 589,586.30

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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.