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Finding the Third Proportional to 83,722.50 and 125,853.75

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Solution

The third proportional to 83,722.50 and 125,853.75 is: 189,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.50 : 125,853.75 = 125,853.75 : x
  2. Step 2: Convert to fraction form
    83,722.50/125,853.75 = 125,853.75/x
  3. Step 3: Cross multiply
    83,722.50x = 125,853.75 × 125,853.75
  4. Step 4: Simplify right side
    83,722.50x = 15,839,166,389.06
  5. Step 5: Solve for x
    x = 15,839,166,389.06/83,722.50
  6. Step 6: Final answer
    x = 189,186.50

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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.