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Finding the Third Proportional to 61,186 and 129,662

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Solution

The third proportional to 61,186 and 129,662 is: 274,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,186 : 129,662 = 129,662 : x
  2. Step 2: Convert to fraction form
    61,186/129,662 = 129,662/x
  3. Step 3: Cross multiply
    61,186x = 129,662 × 129,662
  4. Step 4: Simplify right side
    61,186x = 16,812,234,244
  5. Step 5: Solve for x
    x = 16,812,234,244/61,186
  6. Step 6: Final answer
    x = 274,772.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.