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Finding the Third Proportional to 119,278 and 161,418

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Solution

The third proportional to 119,278 and 161,418 is: 218,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,278 : 161,418 = 161,418 : x
  2. Step 2: Convert to fraction form
    119,278/161,418 = 161,418/x
  3. Step 3: Cross multiply
    119,278x = 161,418 × 161,418
  4. Step 4: Simplify right side
    119,278x = 26,055,770,724
  5. Step 5: Solve for x
    x = 26,055,770,724/119,278
  6. Step 6: Final answer
    x = 218,445.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.