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Finding the Third Proportional to 121,883 and 194,631

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Solution

The third proportional to 121,883 and 194,631 is: 310,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,883 : 194,631 = 194,631 : x
  2. Step 2: Convert to fraction form
    121,883/194,631 = 194,631/x
  3. Step 3: Cross multiply
    121,883x = 194,631 × 194,631
  4. Step 4: Simplify right side
    121,883x = 37,881,226,161
  5. Step 5: Solve for x
    x = 37,881,226,161/121,883
  6. Step 6: Final answer
    x = 310,799.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.