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Finding the Third Proportional to 84,292.50 and 126,396

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Solution

The third proportional to 84,292.50 and 126,396 is: 189,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292.50 : 126,396 = 126,396 : x
  2. Step 2: Convert to fraction form
    84,292.50/126,396 = 126,396/x
  3. Step 3: Cross multiply
    84,292.50x = 126,396 × 126,396
  4. Step 4: Simplify right side
    84,292.50x = 15,975,948,816
  5. Step 5: Solve for x
    x = 15,975,948,816/84,292.50
  6. Step 6: Final answer
    x = 189,529.90

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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.