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Finding the Third Proportional to 71,814 and 154,290

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Solution

The third proportional to 71,814 and 154,290 is: 331,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814 : 154,290 = 154,290 : x
  2. Step 2: Convert to fraction form
    71,814/154,290 = 154,290/x
  3. Step 3: Cross multiply
    71,814x = 154,290 × 154,290
  4. Step 4: Simplify right side
    71,814x = 23,805,404,100
  5. Step 5: Solve for x
    x = 23,805,404,100/71,814
  6. Step 6: Final answer
    x = 331,486.95

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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.