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Finding the Third Proportional to 96,260 and 148,766

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Solution

The third proportional to 96,260 and 148,766 is: 229,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,260 : 148,766 = 148,766 : x
  2. Step 2: Convert to fraction form
    96,260/148,766 = 148,766/x
  3. Step 3: Cross multiply
    96,260x = 148,766 × 148,766
  4. Step 4: Simplify right side
    96,260x = 22,131,322,756
  5. Step 5: Solve for x
    x = 22,131,322,756/96,260
  6. Step 6: Final answer
    x = 229,911.93

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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.