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Finding the Third Proportional to 55,024 and 120,564

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Solution

The third proportional to 55,024 and 120,564 is: 264,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,024 : 120,564 = 120,564 : x
  2. Step 2: Convert to fraction form
    55,024/120,564 = 120,564/x
  3. Step 3: Cross multiply
    55,024x = 120,564 × 120,564
  4. Step 4: Simplify right side
    55,024x = 14,535,678,096
  5. Step 5: Solve for x
    x = 14,535,678,096/55,024
  6. Step 6: Final answer
    x = 264,169.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.