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Finding the Third Proportional to 112,342 and 170,825

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Solution

The third proportional to 112,342 and 170,825 is: 259,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,342 : 170,825 = 170,825 : x
  2. Step 2: Convert to fraction form
    112,342/170,825 = 170,825/x
  3. Step 3: Cross multiply
    112,342x = 170,825 × 170,825
  4. Step 4: Simplify right side
    112,342x = 29,181,180,625
  5. Step 5: Solve for x
    x = 29,181,180,625/112,342
  6. Step 6: Final answer
    x = 259,753.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.