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Finding the Third Proportional to 52,758 and 112,380

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Solution

The third proportional to 52,758 and 112,380 is: 239,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758 : 112,380 = 112,380 : x
  2. Step 2: Convert to fraction form
    52,758/112,380 = 112,380/x
  3. Step 3: Cross multiply
    52,758x = 112,380 × 112,380
  4. Step 4: Simplify right side
    52,758x = 12,629,264,400
  5. Step 5: Solve for x
    x = 12,629,264,400/52,758
  6. Step 6: Final answer
    x = 239,381.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.