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Finding the Third Proportional to 55,690 and 120,074

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Solution

The third proportional to 55,690 and 120,074 is: 258,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,690 : 120,074 = 120,074 : x
  2. Step 2: Convert to fraction form
    55,690/120,074 = 120,074/x
  3. Step 3: Cross multiply
    55,690x = 120,074 × 120,074
  4. Step 4: Simplify right side
    55,690x = 14,417,765,476
  5. Step 5: Solve for x
    x = 14,417,765,476/55,690
  6. Step 6: Final answer
    x = 258,893.26

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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.