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Finding the Third Proportional to 95,560 and 148,267

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Solution

The third proportional to 95,560 and 148,267 is: 230,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,560 : 148,267 = 148,267 : x
  2. Step 2: Convert to fraction form
    95,560/148,267 = 148,267/x
  3. Step 3: Cross multiply
    95,560x = 148,267 × 148,267
  4. Step 4: Simplify right side
    95,560x = 21,983,103,289
  5. Step 5: Solve for x
    x = 21,983,103,289/95,560
  6. Step 6: Final answer
    x = 230,045.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.