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Finding the Third Proportional to 96,256 and 148,756

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Solution

The third proportional to 96,256 and 148,756 is: 229,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,256 : 148,756 = 148,756 : x
  2. Step 2: Convert to fraction form
    96,256/148,756 = 148,756/x
  3. Step 3: Cross multiply
    96,256x = 148,756 × 148,756
  4. Step 4: Simplify right side
    96,256x = 22,128,347,536
  5. Step 5: Solve for x
    x = 22,128,347,536/96,256
  6. Step 6: Final answer
    x = 229,890.58

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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.