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Finding the Third Proportional to 51,259 and 112,616

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Solution

The third proportional to 51,259 and 112,616 is: 247,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,259 : 112,616 = 112,616 : x
  2. Step 2: Convert to fraction form
    51,259/112,616 = 112,616/x
  3. Step 3: Cross multiply
    51,259x = 112,616 × 112,616
  4. Step 4: Simplify right side
    51,259x = 12,682,363,456
  5. Step 5: Solve for x
    x = 12,682,363,456/51,259
  6. Step 6: Final answer
    x = 247,417.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.