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Finding the Third Proportional to 73,980 and 112,814

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Solution

The third proportional to 73,980 and 112,814 is: 172,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 112,814 = 112,814 : x
  2. Step 2: Convert to fraction form
    73,980/112,814 = 112,814/x
  3. Step 3: Cross multiply
    73,980x = 112,814 × 112,814
  4. Step 4: Simplify right side
    73,980x = 12,726,998,596
  5. Step 5: Solve for x
    x = 12,726,998,596/73,980
  6. Step 6: Final answer
    x = 172,032.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.