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Finding the Third Proportional to 55,693 and 120,080

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Solution

The third proportional to 55,693 and 120,080 is: 258,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,693 : 120,080 = 120,080 : x
  2. Step 2: Convert to fraction form
    55,693/120,080 = 120,080/x
  3. Step 3: Cross multiply
    55,693x = 120,080 × 120,080
  4. Step 4: Simplify right side
    55,693x = 14,419,206,400
  5. Step 5: Solve for x
    x = 14,419,206,400/55,693
  6. Step 6: Final answer
    x = 258,905.18

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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.