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Finding the Third Proportional to 121,164 and 183,926

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Solution

The third proportional to 121,164 and 183,926 is: 279,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,164 : 183,926 = 183,926 : x
  2. Step 2: Convert to fraction form
    121,164/183,926 = 183,926/x
  3. Step 3: Cross multiply
    121,164x = 183,926 × 183,926
  4. Step 4: Simplify right side
    121,164x = 33,828,773,476
  5. Step 5: Solve for x
    x = 33,828,773,476/121,164
  6. Step 6: Final answer
    x = 279,198.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.