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Finding the Third Proportional to 95,096 and 148,101

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Solution

The third proportional to 95,096 and 148,101 is: 230,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,096 : 148,101 = 148,101 : x
  2. Step 2: Convert to fraction form
    95,096/148,101 = 148,101/x
  3. Step 3: Cross multiply
    95,096x = 148,101 × 148,101
  4. Step 4: Simplify right side
    95,096x = 21,933,906,201
  5. Step 5: Solve for x
    x = 21,933,906,201/95,096
  6. Step 6: Final answer
    x = 230,650.15

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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.