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Finding the Third Proportional to 126,226 and 272,135

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Solution

The third proportional to 126,226 and 272,135 is: 586,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,226 : 272,135 = 272,135 : x
  2. Step 2: Convert to fraction form
    126,226/272,135 = 272,135/x
  3. Step 3: Cross multiply
    126,226x = 272,135 × 272,135
  4. Step 4: Simplify right side
    126,226x = 74,057,458,225
  5. Step 5: Solve for x
    x = 74,057,458,225/126,226
  6. Step 6: Final answer
    x = 586,705.26

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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.