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Finding the Third Proportional to 110,438 and 170,061

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Solution

The third proportional to 110,438 and 170,061 is: 261,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438 : 170,061 = 170,061 : x
  2. Step 2: Convert to fraction form
    110,438/170,061 = 170,061/x
  3. Step 3: Cross multiply
    110,438x = 170,061 × 170,061
  4. Step 4: Simplify right side
    110,438x = 28,920,743,721
  5. Step 5: Solve for x
    x = 28,920,743,721/110,438
  6. Step 6: Final answer
    x = 261,873.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.