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Finding the Third Proportional to 95,094 and 148,098

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Solution

The third proportional to 95,094 and 148,098 is: 230,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,094 : 148,098 = 148,098 : x
  2. Step 2: Convert to fraction form
    95,094/148,098 = 148,098/x
  3. Step 3: Cross multiply
    95,094x = 148,098 × 148,098
  4. Step 4: Simplify right side
    95,094x = 21,933,017,604
  5. Step 5: Solve for x
    x = 21,933,017,604/95,094
  6. Step 6: Final answer
    x = 230,645.65

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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.