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Finding the Third Proportional to 59,956 and 129,632

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Solution

The third proportional to 59,956 and 129,632 is: 280,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,956 : 129,632 = 129,632 : x
  2. Step 2: Convert to fraction form
    59,956/129,632 = 129,632/x
  3. Step 3: Cross multiply
    59,956x = 129,632 × 129,632
  4. Step 4: Simplify right side
    59,956x = 16,804,455,424
  5. Step 5: Solve for x
    x = 16,804,455,424/59,956
  6. Step 6: Final answer
    x = 280,279.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.