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Finding the Third Proportional to 96,250 and 148,751

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Solution

The third proportional to 96,250 and 148,751 is: 229,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250 : 148,751 = 148,751 : x
  2. Step 2: Convert to fraction form
    96,250/148,751 = 148,751/x
  3. Step 3: Cross multiply
    96,250x = 148,751 × 148,751
  4. Step 4: Simplify right side
    96,250x = 22,126,860,001
  5. Step 5: Solve for x
    x = 22,126,860,001/96,250
  6. Step 6: Final answer
    x = 229,889.45

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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.