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Finding the Third Proportional to 96,267 and 148,162.50

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Solution

The third proportional to 96,267 and 148,162.50 is: 228,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,267 : 148,162.50 = 148,162.50 : x
  2. Step 2: Convert to fraction form
    96,267/148,162.50 = 148,162.50/x
  3. Step 3: Cross multiply
    96,267x = 148,162.50 × 148,162.50
  4. Step 4: Simplify right side
    96,267x = 21,952,126,406.25
  5. Step 5: Solve for x
    x = 21,952,126,406.25/96,267
  6. Step 6: Final answer
    x = 228,033.76

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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.