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Finding the Third Proportional to 96,261 and 148,767

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Solution

The third proportional to 96,261 and 148,767 is: 229,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261 : 148,767 = 148,767 : x
  2. Step 2: Convert to fraction form
    96,261/148,767 = 148,767/x
  3. Step 3: Cross multiply
    96,261x = 148,767 × 148,767
  4. Step 4: Simplify right side
    96,261x = 22,131,620,289
  5. Step 5: Solve for x
    x = 22,131,620,289/96,261
  6. Step 6: Final answer
    x = 229,912.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.