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Finding the Third Proportional to 112,266 and 169,561

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Solution

The third proportional to 112,266 and 169,561 is: 256,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,266 : 169,561 = 169,561 : x
  2. Step 2: Convert to fraction form
    112,266/169,561 = 169,561/x
  3. Step 3: Cross multiply
    112,266x = 169,561 × 169,561
  4. Step 4: Simplify right side
    112,266x = 28,750,932,721
  5. Step 5: Solve for x
    x = 28,750,932,721/112,266
  6. Step 6: Final answer
    x = 256,096.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.