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Finding the Third Proportional to 61,284.75 and 125,161.50

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Solution

The third proportional to 61,284.75 and 125,161.50 is: 255,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284.75 : 125,161.50 = 125,161.50 : x
  2. Step 2: Convert to fraction form
    61,284.75/125,161.50 = 125,161.50/x
  3. Step 3: Cross multiply
    61,284.75x = 125,161.50 × 125,161.50
  4. Step 4: Simplify right side
    61,284.75x = 15,665,401,082.25
  5. Step 5: Solve for x
    x = 15,665,401,082.25/61,284.75
  6. Step 6: Final answer
    x = 255,616.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.