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Finding the Third Proportional to 61,150 and 126,107

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Solution

The third proportional to 61,150 and 126,107 is: 260,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,150 : 126,107 = 126,107 : x
  2. Step 2: Convert to fraction form
    61,150/126,107 = 126,107/x
  3. Step 3: Cross multiply
    61,150x = 126,107 × 126,107
  4. Step 4: Simplify right side
    61,150x = 15,902,975,449
  5. Step 5: Solve for x
    x = 15,902,975,449/61,150
  6. Step 6: Final answer
    x = 260,065.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.