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Finding the Third Proportional to 95,010 and 148,266

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Solution

The third proportional to 95,010 and 148,266 is: 231,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,010 : 148,266 = 148,266 : x
  2. Step 2: Convert to fraction form
    95,010/148,266 = 148,266/x
  3. Step 3: Cross multiply
    95,010x = 148,266 × 148,266
  4. Step 4: Simplify right side
    95,010x = 21,982,806,756
  5. Step 5: Solve for x
    x = 21,982,806,756/95,010
  6. Step 6: Final answer
    x = 231,373.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.