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Finding the Third Proportional to 98,307 and 148,266

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Solution

The third proportional to 98,307 and 148,266 is: 223,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,307 : 148,266 = 148,266 : x
  2. Step 2: Convert to fraction form
    98,307/148,266 = 148,266/x
  3. Step 3: Cross multiply
    98,307x = 148,266 × 148,266
  4. Step 4: Simplify right side
    98,307x = 21,982,806,756
  5. Step 5: Solve for x
    x = 21,982,806,756/98,307
  6. Step 6: Final answer
    x = 223,613.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.