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Finding the Third Proportional to 84,157.50 and 126,452

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Solution

The third proportional to 84,157.50 and 126,452 is: 190,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157.50 : 126,452 = 126,452 : x
  2. Step 2: Convert to fraction form
    84,157.50/126,452 = 126,452/x
  3. Step 3: Cross multiply
    84,157.50x = 126,452 × 126,452
  4. Step 4: Simplify right side
    84,157.50x = 15,990,108,304
  5. Step 5: Solve for x
    x = 15,990,108,304/84,157.50
  6. Step 6: Final answer
    x = 190,002.18

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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.