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Finding the Third Proportional to 61,118 and 126,043

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Solution

The third proportional to 61,118 and 126,043 is: 259,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,118 : 126,043 = 126,043 : x
  2. Step 2: Convert to fraction form
    61,118/126,043 = 126,043/x
  3. Step 3: Cross multiply
    61,118x = 126,043 × 126,043
  4. Step 4: Simplify right side
    61,118x = 15,886,837,849
  5. Step 5: Solve for x
    x = 15,886,837,849/61,118
  6. Step 6: Final answer
    x = 259,937.14

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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.