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Finding the Third Proportional to 96,874 and 151,050

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Solution

The third proportional to 96,874 and 151,050 is: 235,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,874 : 151,050 = 151,050 : x
  2. Step 2: Convert to fraction form
    96,874/151,050 = 151,050/x
  3. Step 3: Cross multiply
    96,874x = 151,050 × 151,050
  4. Step 4: Simplify right side
    96,874x = 22,816,102,500
  5. Step 5: Solve for x
    x = 22,816,102,500/96,874
  6. Step 6: Final answer
    x = 235,523.49

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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.