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Finding the Third Proportional to 48,059.16 and 105,373.41

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Solution

The third proportional to 48,059.16 and 105,373.41 is: 231,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,059.16 : 105,373.41 = 105,373.41 : x
  2. Step 2: Convert to fraction form
    48,059.16/105,373.41 = 105,373.41/x
  3. Step 3: Cross multiply
    48,059.16x = 105,373.41 × 105,373.41
  4. Step 4: Simplify right side
    48,059.16x = 11,103,554,744.73
  5. Step 5: Solve for x
    x = 11,103,554,744.73/48,059.16
  6. Step 6: Final answer
    x = 231,039.32

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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.