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Finding the Third Proportional to 28,160 and 61,186

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Solution

The third proportional to 28,160 and 61,186 is: 132,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,160 : 61,186 = 61,186 : x
  2. Step 2: Convert to fraction form
    28,160/61,186 = 61,186/x
  3. Step 3: Cross multiply
    28,160x = 61,186 × 61,186
  4. Step 4: Simplify right side
    28,160x = 3,743,726,596
  5. Step 5: Solve for x
    x = 3,743,726,596/28,160
  6. Step 6: Final answer
    x = 132,944.84

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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.