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Finding the Third Proportional to 48,012.75 and 105,381

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Solution

The third proportional to 48,012.75 and 105,381 is: 231,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012.75 : 105,381 = 105,381 : x
  2. Step 2: Convert to fraction form
    48,012.75/105,381 = 105,381/x
  3. Step 3: Cross multiply
    48,012.75x = 105,381 × 105,381
  4. Step 4: Simplify right side
    48,012.75x = 11,105,155,161
  5. Step 5: Solve for x
    x = 11,105,155,161/48,012.75
  6. Step 6: Final answer
    x = 231,295.96

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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.