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Finding the Third Proportional to 59,967 and 129,162.75

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Solution

The third proportional to 59,967 and 129,162.75 is: 278,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,967 : 129,162.75 = 129,162.75 : x
  2. Step 2: Convert to fraction form
    59,967/129,162.75 = 129,162.75/x
  3. Step 3: Cross multiply
    59,967x = 129,162.75 × 129,162.75
  4. Step 4: Simplify right side
    59,967x = 16,683,015,987.56
  5. Step 5: Solve for x
    x = 16,683,015,987.56/59,967
  6. Step 6: Final answer
    x = 278,203.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.