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Finding the Third Proportional to 170,739 and 186,048

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Solution

The third proportional to 170,739 and 186,048 is: 202,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,739 : 186,048 = 186,048 : x
  2. Step 2: Convert to fraction form
    170,739/186,048 = 186,048/x
  3. Step 3: Cross multiply
    170,739x = 186,048 × 186,048
  4. Step 4: Simplify right side
    170,739x = 34,613,858,304
  5. Step 5: Solve for x
    x = 34,613,858,304/170,739
  6. Step 6: Final answer
    x = 202,729.65

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.