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Finding the Third Proportional to 52,945 and 75,265

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Solution

The third proportional to 52,945 and 75,265 is: 106,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,945 : 75,265 = 75,265 : x
  2. Step 2: Convert to fraction form
    52,945/75,265 = 75,265/x
  3. Step 3: Cross multiply
    52,945x = 75,265 × 75,265
  4. Step 4: Simplify right side
    52,945x = 5,664,820,225
  5. Step 5: Solve for x
    x = 5,664,820,225/52,945
  6. Step 6: Final answer
    x = 106,994.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.