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Finding the Third Proportional to 76,660 and 112,074

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Solution

The third proportional to 76,660 and 112,074 is: 163,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660 : 112,074 = 112,074 : x
  2. Step 2: Convert to fraction form
    76,660/112,074 = 112,074/x
  3. Step 3: Cross multiply
    76,660x = 112,074 × 112,074
  4. Step 4: Simplify right side
    76,660x = 12,560,581,476
  5. Step 5: Solve for x
    x = 12,560,581,476/76,660
  6. Step 6: Final answer
    x = 163,847.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.