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Finding the Third Proportional to 140,888 and 191,888

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Solution

The third proportional to 140,888 and 191,888 is: 261,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,888 : 191,888 = 191,888 : x
  2. Step 2: Convert to fraction form
    140,888/191,888 = 191,888/x
  3. Step 3: Cross multiply
    140,888x = 191,888 × 191,888
  4. Step 4: Simplify right side
    140,888x = 36,821,004,544
  5. Step 5: Solve for x
    x = 36,821,004,544/140,888
  6. Step 6: Final answer
    x = 261,349.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.