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Finding the Third Proportional to 55,535 and 120,922

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Solution

The third proportional to 55,535 and 120,922 is: 263,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,535 : 120,922 = 120,922 : x
  2. Step 2: Convert to fraction form
    55,535/120,922 = 120,922/x
  3. Step 3: Cross multiply
    55,535x = 120,922 × 120,922
  4. Step 4: Simplify right side
    55,535x = 14,622,130,084
  5. Step 5: Solve for x
    x = 14,622,130,084/55,535
  6. Step 6: Final answer
    x = 263,295.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.