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Finding the Third Proportional to 81,195 and 124,873.50

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Solution

The third proportional to 81,195 and 124,873.50 is: 192,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,195 : 124,873.50 = 124,873.50 : x
  2. Step 2: Convert to fraction form
    81,195/124,873.50 = 124,873.50/x
  3. Step 3: Cross multiply
    81,195x = 124,873.50 × 124,873.50
  4. Step 4: Simplify right side
    81,195x = 15,593,391,002.25
  5. Step 5: Solve for x
    x = 15,593,391,002.25/81,195
  6. Step 6: Final answer
    x = 192,048.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.