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Finding the Third Proportional to 61,186 and 125,665

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Solution

The third proportional to 61,186 and 125,665 is: 258,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,186 : 125,665 = 125,665 : x
  2. Step 2: Convert to fraction form
    61,186/125,665 = 125,665/x
  3. Step 3: Cross multiply
    61,186x = 125,665 × 125,665
  4. Step 4: Simplify right side
    61,186x = 15,791,692,225
  5. Step 5: Solve for x
    x = 15,791,692,225/61,186
  6. Step 6: Final answer
    x = 258,093.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.