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Finding the Third Proportional to 52,974 and 115,911

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Solution

The third proportional to 52,974 and 115,911 is: 253,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974 : 115,911 = 115,911 : x
  2. Step 2: Convert to fraction form
    52,974/115,911 = 115,911/x
  3. Step 3: Cross multiply
    52,974x = 115,911 × 115,911
  4. Step 4: Simplify right side
    52,974x = 13,435,359,921
  5. Step 5: Solve for x
    x = 13,435,359,921/52,974
  6. Step 6: Final answer
    x = 253,621.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.