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Finding the Third Proportional to 61,637 and 126,187

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Solution

The third proportional to 61,637 and 126,187 is: 258,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,637 : 126,187 = 126,187 : x
  2. Step 2: Convert to fraction form
    61,637/126,187 = 126,187/x
  3. Step 3: Cross multiply
    61,637x = 126,187 × 126,187
  4. Step 4: Simplify right side
    61,637x = 15,923,158,969
  5. Step 5: Solve for x
    x = 15,923,158,969/61,637
  6. Step 6: Final answer
    x = 258,337.67

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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.