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Finding the Third Proportional to 121,369 and 193,907

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Solution

The third proportional to 121,369 and 193,907 is: 309,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,369 : 193,907 = 193,907 : x
  2. Step 2: Convert to fraction form
    121,369/193,907 = 193,907/x
  3. Step 3: Cross multiply
    121,369x = 193,907 × 193,907
  4. Step 4: Simplify right side
    121,369x = 37,599,924,649
  5. Step 5: Solve for x
    x = 37,599,924,649/121,369
  6. Step 6: Final answer
    x = 309,798.42

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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.