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Finding the Third Proportional to 106,918 and 155,623

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Solution

The third proportional to 106,918 and 155,623 is: 226,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918 : 155,623 = 155,623 : x
  2. Step 2: Convert to fraction form
    106,918/155,623 = 155,623/x
  3. Step 3: Cross multiply
    106,918x = 155,623 × 155,623
  4. Step 4: Simplify right side
    106,918x = 24,218,518,129
  5. Step 5: Solve for x
    x = 24,218,518,129/106,918
  6. Step 6: Final answer
    x = 226,514.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.