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Finding the Third Proportional to 76,524 and 112,266

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Solution

The third proportional to 76,524 and 112,266 is: 164,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,524 : 112,266 = 112,266 : x
  2. Step 2: Convert to fraction form
    76,524/112,266 = 112,266/x
  3. Step 3: Cross multiply
    76,524x = 112,266 × 112,266
  4. Step 4: Simplify right side
    76,524x = 12,603,654,756
  5. Step 5: Solve for x
    x = 12,603,654,756/76,524
  6. Step 6: Final answer
    x = 164,701.99

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Why These Related Problems?

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