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Finding the Third Proportional to 61,054 and 126,785

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Solution

The third proportional to 61,054 and 126,785 is: 263,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,054 : 126,785 = 126,785 : x
  2. Step 2: Convert to fraction form
    61,054/126,785 = 126,785/x
  3. Step 3: Cross multiply
    61,054x = 126,785 × 126,785
  4. Step 4: Simplify right side
    61,054x = 16,074,436,225
  5. Step 5: Solve for x
    x = 16,074,436,225/61,054
  6. Step 6: Final answer
    x = 263,282.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.