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Finding the Third Proportional to 98,256 and 148,199

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Solution

The third proportional to 98,256 and 148,199 is: 223,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,256 : 148,199 = 148,199 : x
  2. Step 2: Convert to fraction form
    98,256/148,199 = 148,199/x
  3. Step 3: Cross multiply
    98,256x = 148,199 × 148,199
  4. Step 4: Simplify right side
    98,256x = 21,962,943,601
  5. Step 5: Solve for x
    x = 21,962,943,601/98,256
  6. Step 6: Final answer
    x = 223,527.76

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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.