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Finding the Third Proportional to 59,895 and 129,759

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Solution

The third proportional to 59,895 and 129,759 is: 281,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,895 : 129,759 = 129,759 : x
  2. Step 2: Convert to fraction form
    59,895/129,759 = 129,759/x
  3. Step 3: Cross multiply
    59,895x = 129,759 × 129,759
  4. Step 4: Simplify right side
    59,895x = 16,837,398,081
  5. Step 5: Solve for x
    x = 16,837,398,081/59,895
  6. Step 6: Final answer
    x = 281,115.25

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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.