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Finding the Third Proportional to 96,414 and 147,901

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Solution

The third proportional to 96,414 and 147,901 is: 226,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414 : 147,901 = 147,901 : x
  2. Step 2: Convert to fraction form
    96,414/147,901 = 147,901/x
  3. Step 3: Cross multiply
    96,414x = 147,901 × 147,901
  4. Step 4: Simplify right side
    96,414x = 21,874,705,801
  5. Step 5: Solve for x
    x = 21,874,705,801/96,414
  6. Step 6: Final answer
    x = 226,883.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.