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Finding the Third Proportional to 112,464 and 170,496

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Solution

The third proportional to 112,464 and 170,496 is: 258,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,464 : 170,496 = 170,496 : x
  2. Step 2: Convert to fraction form
    112,464/170,496 = 170,496/x
  3. Step 3: Cross multiply
    112,464x = 170,496 × 170,496
  4. Step 4: Simplify right side
    112,464x = 29,068,886,016
  5. Step 5: Solve for x
    x = 29,068,886,016/112,464
  6. Step 6: Final answer
    x = 258,472.81

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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.