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Finding the Third Proportional to 55,570.50 and 120,024.75

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Solution

The third proportional to 55,570.50 and 120,024.75 is: 259,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,570.50 : 120,024.75 = 120,024.75 : x
  2. Step 2: Convert to fraction form
    55,570.50/120,024.75 = 120,024.75/x
  3. Step 3: Cross multiply
    55,570.50x = 120,024.75 × 120,024.75
  4. Step 4: Simplify right side
    55,570.50x = 14,405,940,612.56
  5. Step 5: Solve for x
    x = 14,405,940,612.56/55,570.50
  6. Step 6: Final answer
    x = 259,237.20

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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.