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Finding the Third Proportional to 48,052.97 and 105,521.91

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Solution

The third proportional to 48,052.97 and 105,521.91 is: 231,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,052.97 : 105,521.91 = 105,521.91 : x
  2. Step 2: Convert to fraction form
    48,052.97/105,521.91 = 105,521.91/x
  3. Step 3: Cross multiply
    48,052.97x = 105,521.91 × 105,521.91
  4. Step 4: Simplify right side
    48,052.97x = 11,134,872,698.63
  5. Step 5: Solve for x
    x = 11,134,872,698.63/48,052.97
  6. Step 6: Final answer
    x = 231,720.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.