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Finding the Third Proportional to 76,990 and 112,818

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Solution

The third proportional to 76,990 and 112,818 is: 165,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,990 : 112,818 = 112,818 : x
  2. Step 2: Convert to fraction form
    76,990/112,818 = 112,818/x
  3. Step 3: Cross multiply
    76,990x = 112,818 × 112,818
  4. Step 4: Simplify right side
    76,990x = 12,727,901,124
  5. Step 5: Solve for x
    x = 12,727,901,124/76,990
  6. Step 6: Final answer
    x = 165,318.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.