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Finding the Third Proportional to 106,344 and 148,698

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Solution

The third proportional to 106,344 and 148,698 is: 207,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,344 : 148,698 = 148,698 : x
  2. Step 2: Convert to fraction form
    106,344/148,698 = 148,698/x
  3. Step 3: Cross multiply
    106,344x = 148,698 × 148,698
  4. Step 4: Simplify right side
    106,344x = 22,111,095,204
  5. Step 5: Solve for x
    x = 22,111,095,204/106,344
  6. Step 6: Final answer
    x = 207,920.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.