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Finding the Third Proportional to 121,042 and 265,976

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Solution

The third proportional to 121,042 and 265,976 is: 584,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,042 : 265,976 = 265,976 : x
  2. Step 2: Convert to fraction form
    121,042/265,976 = 265,976/x
  3. Step 3: Cross multiply
    121,042x = 265,976 × 265,976
  4. Step 4: Simplify right side
    121,042x = 70,743,232,576
  5. Step 5: Solve for x
    x = 70,743,232,576/121,042
  6. Step 6: Final answer
    x = 584,451.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.