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Finding the Third Proportional to 61,154 and 126,116

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Solution

The third proportional to 61,154 and 126,116 is: 260,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,154 : 126,116 = 126,116 : x
  2. Step 2: Convert to fraction form
    61,154/126,116 = 126,116/x
  3. Step 3: Cross multiply
    61,154x = 126,116 × 126,116
  4. Step 4: Simplify right side
    61,154x = 15,905,245,456
  5. Step 5: Solve for x
    x = 15,905,245,456/61,154
  6. Step 6: Final answer
    x = 260,085.12

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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.