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Finding the Third Proportional to 56,481.50 and 122,261

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Solution

The third proportional to 56,481.50 and 122,261 is: 264,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481.50 : 122,261 = 122,261 : x
  2. Step 2: Convert to fraction form
    56,481.50/122,261 = 122,261/x
  3. Step 3: Cross multiply
    56,481.50x = 122,261 × 122,261
  4. Step 4: Simplify right side
    56,481.50x = 14,947,752,121
  5. Step 5: Solve for x
    x = 14,947,752,121/56,481.50
  6. Step 6: Final answer
    x = 264,648.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.