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Finding the Third Proportional to 121,721 and 262,167

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Solution

The third proportional to 121,721 and 262,167 is: 564,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,721 : 262,167 = 262,167 : x
  2. Step 2: Convert to fraction form
    121,721/262,167 = 262,167/x
  3. Step 3: Cross multiply
    121,721x = 262,167 × 262,167
  4. Step 4: Simplify right side
    121,721x = 68,731,535,889
  5. Step 5: Solve for x
    x = 68,731,535,889/121,721
  6. Step 6: Final answer
    x = 564,664.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.