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Finding the Third Proportional to 55,974 and 118,266

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Solution

The third proportional to 55,974 and 118,266 is: 249,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974 : 118,266 = 118,266 : x
  2. Step 2: Convert to fraction form
    55,974/118,266 = 118,266/x
  3. Step 3: Cross multiply
    55,974x = 118,266 × 118,266
  4. Step 4: Simplify right side
    55,974x = 13,986,846,756
  5. Step 5: Solve for x
    x = 13,986,846,756/55,974
  6. Step 6: Final answer
    x = 249,881.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.