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Finding the Third Proportional to 52,930 and 75,235

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Solution

The third proportional to 52,930 and 75,235 is: 106,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,930 : 75,235 = 75,235 : x
  2. Step 2: Convert to fraction form
    52,930/75,235 = 75,235/x
  3. Step 3: Cross multiply
    52,930x = 75,235 × 75,235
  4. Step 4: Simplify right side
    52,930x = 5,660,305,225
  5. Step 5: Solve for x
    x = 5,660,305,225/52,930
  6. Step 6: Final answer
    x = 106,939.45

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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.