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Finding the Third Proportional to 96,234 and 148,110

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Solution

The third proportional to 96,234 and 148,110 is: 227,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234 : 148,110 = 148,110 : x
  2. Step 2: Convert to fraction form
    96,234/148,110 = 148,110/x
  3. Step 3: Cross multiply
    96,234x = 148,110 × 148,110
  4. Step 4: Simplify right side
    96,234x = 21,936,572,100
  5. Step 5: Solve for x
    x = 21,936,572,100/96,234
  6. Step 6: Final answer
    x = 227,950.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.