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Finding the Third Proportional to 121,877 and 194,621

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Solution

The third proportional to 121,877 and 194,621 is: 310,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,877 : 194,621 = 194,621 : x
  2. Step 2: Convert to fraction form
    121,877/194,621 = 194,621/x
  3. Step 3: Cross multiply
    121,877x = 194,621 × 194,621
  4. Step 4: Simplify right side
    121,877x = 37,877,333,641
  5. Step 5: Solve for x
    x = 37,877,333,641/121,877
  6. Step 6: Final answer
    x = 310,783.28

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