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Finding the Third Proportional to 126,202 and 272,078

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Solution

The third proportional to 126,202 and 272,078 is: 586,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,202 : 272,078 = 272,078 : x
  2. Step 2: Convert to fraction form
    126,202/272,078 = 272,078/x
  3. Step 3: Cross multiply
    126,202x = 272,078 × 272,078
  4. Step 4: Simplify right side
    126,202x = 74,026,438,084
  5. Step 5: Solve for x
    x = 74,026,438,084/126,202
  6. Step 6: Final answer
    x = 586,571.04

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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.