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Finding the Third Proportional to 96,343 and 148,199

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Solution

The third proportional to 96,343 and 148,199 is: 227,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,343 : 148,199 = 148,199 : x
  2. Step 2: Convert to fraction form
    96,343/148,199 = 148,199/x
  3. Step 3: Cross multiply
    96,343x = 148,199 × 148,199
  4. Step 4: Simplify right side
    96,343x = 21,962,943,601
  5. Step 5: Solve for x
    x = 21,962,943,601/96,343
  6. Step 6: Final answer
    x = 227,966.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.