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Finding the Third Proportional to 48,856.50 and 107,065.13

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Solution

The third proportional to 48,856.50 and 107,065.13 is: 234,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,856.50 : 107,065.13 = 107,065.13 : x
  2. Step 2: Convert to fraction form
    48,856.50/107,065.13 = 107,065.13/x
  3. Step 3: Cross multiply
    48,856.50x = 107,065.13 × 107,065.13
  4. Step 4: Simplify right side
    48,856.50x = 11,462,940,991.27
  5. Step 5: Solve for x
    x = 11,462,940,991.27/48,856.50
  6. Step 6: Final answer
    x = 234,624.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.