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Finding the Third Proportional to 48,859.13 and 107,069.25

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Solution

The third proportional to 48,859.13 and 107,069.25 is: 234,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,859.13 : 107,069.25 = 107,069.25 : x
  2. Step 2: Convert to fraction form
    48,859.13/107,069.25 = 107,069.25/x
  3. Step 3: Cross multiply
    48,859.13x = 107,069.25 × 107,069.25
  4. Step 4: Simplify right side
    48,859.13x = 11,463,824,295.56
  5. Step 5: Solve for x
    x = 11,463,824,295.56/48,859.13
  6. Step 6: Final answer
    x = 234,630.16

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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.