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Finding the Third Proportional to 126,198 and 272,070

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Solution

The third proportional to 126,198 and 272,070 is: 586,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,198 : 272,070 = 272,070 : x
  2. Step 2: Convert to fraction form
    126,198/272,070 = 272,070/x
  3. Step 3: Cross multiply
    126,198x = 272,070 × 272,070
  4. Step 4: Simplify right side
    126,198x = 74,022,084,900
  5. Step 5: Solve for x
    x = 74,022,084,900/126,198
  6. Step 6: Final answer
    x = 586,555.13

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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.