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Finding the Third Proportional to 59,101.13 and 128,046.75

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Solution

The third proportional to 59,101.13 and 128,046.75 is: 277,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,101.13 : 128,046.75 = 128,046.75 : x
  2. Step 2: Convert to fraction form
    59,101.13/128,046.75 = 128,046.75/x
  3. Step 3: Cross multiply
    59,101.13x = 128,046.75 × 128,046.75
  4. Step 4: Simplify right side
    59,101.13x = 16,395,970,185.56
  5. Step 5: Solve for x
    x = 16,395,970,185.56/59,101.13
  6. Step 6: Final answer
    x = 277,422.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.