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Finding the Third Proportional to 81,238.50 and 121,860

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Solution

The third proportional to 81,238.50 and 121,860 is: 182,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,238.50 : 121,860 = 121,860 : x
  2. Step 2: Convert to fraction form
    81,238.50/121,860 = 121,860/x
  3. Step 3: Cross multiply
    81,238.50x = 121,860 × 121,860
  4. Step 4: Simplify right side
    81,238.50x = 14,849,859,600
  5. Step 5: Solve for x
    x = 14,849,859,600/81,238.50
  6. Step 6: Final answer
    x = 182,793.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.