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Finding the Third Proportional to 55,998 and 120,903

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Solution

The third proportional to 55,998 and 120,903 is: 261,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,998 : 120,903 = 120,903 : x
  2. Step 2: Convert to fraction form
    55,998/120,903 = 120,903/x
  3. Step 3: Cross multiply
    55,998x = 120,903 × 120,903
  4. Step 4: Simplify right side
    55,998x = 14,617,535,409
  5. Step 5: Solve for x
    x = 14,617,535,409/55,998
  6. Step 6: Final answer
    x = 261,036.74

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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.