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Finding the Third Proportional to 55,608 and 122,283

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Solution

The third proportional to 55,608 and 122,283 is: 268,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,608 : 122,283 = 122,283 : x
  2. Step 2: Convert to fraction form
    55,608/122,283 = 122,283/x
  3. Step 3: Cross multiply
    55,608x = 122,283 × 122,283
  4. Step 4: Simplify right side
    55,608x = 14,953,132,089
  5. Step 5: Solve for x
    x = 14,953,132,089/55,608
  6. Step 6: Final answer
    x = 268,902.53

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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.