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Finding the Third Proportional to 48,724.50 and 106,251

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Solution

The third proportional to 48,724.50 and 106,251 is: 231,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,724.50 : 106,251 = 106,251 : x
  2. Step 2: Convert to fraction form
    48,724.50/106,251 = 106,251/x
  3. Step 3: Cross multiply
    48,724.50x = 106,251 × 106,251
  4. Step 4: Simplify right side
    48,724.50x = 11,289,275,001
  5. Step 5: Solve for x
    x = 11,289,275,001/48,724.50
  6. Step 6: Final answer
    x = 231,696.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.