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Finding the Third Proportional to 112,789 and 158,691.75

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Solution

The third proportional to 112,789 and 158,691.75 is: 223,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,789 : 158,691.75 = 158,691.75 : x
  2. Step 2: Convert to fraction form
    112,789/158,691.75 = 158,691.75/x
  3. Step 3: Cross multiply
    112,789x = 158,691.75 × 158,691.75
  4. Step 4: Simplify right side
    112,789x = 25,183,071,518.06
  5. Step 5: Solve for x
    x = 25,183,071,518.06/112,789
  6. Step 6: Final answer
    x = 223,275.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.