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Finding the Third Proportional to 112,151.25 and 159,964.88

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Solution

The third proportional to 112,151.25 and 159,964.88 is: 228,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,151.25 : 159,964.88 = 159,964.88 : x
  2. Step 2: Convert to fraction form
    112,151.25/159,964.88 = 159,964.88/x
  3. Step 3: Cross multiply
    112,151.25x = 159,964.88 × 159,964.88
  4. Step 4: Simplify right side
    112,151.25x = 25,588,761,233.77
  5. Step 5: Solve for x
    x = 25,588,761,233.77/112,151.25
  6. Step 6: Final answer
    x = 228,162.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.