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Finding the Third Proportional to 56,772 and 124,722

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Solution

The third proportional to 56,772 and 124,722 is: 274,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,772 : 124,722 = 124,722 : x
  2. Step 2: Convert to fraction form
    56,772/124,722 = 124,722/x
  3. Step 3: Cross multiply
    56,772x = 124,722 × 124,722
  4. Step 4: Simplify right side
    56,772x = 15,555,577,284
  5. Step 5: Solve for x
    x = 15,555,577,284/56,772
  6. Step 6: Final answer
    x = 274,000.87

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Why These Related Problems?

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