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Finding the Third Proportional to 126,200 and 272,074

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Solution

The third proportional to 126,200 and 272,074 is: 586,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,200 : 272,074 = 272,074 : x
  2. Step 2: Convert to fraction form
    126,200/272,074 = 272,074/x
  3. Step 3: Cross multiply
    126,200x = 272,074 × 272,074
  4. Step 4: Simplify right side
    126,200x = 74,024,261,476
  5. Step 5: Solve for x
    x = 74,024,261,476/126,200
  6. Step 6: Final answer
    x = 586,563.09

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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.