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Finding the Third Proportional to 65,680.88 and 140,697

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Solution

The third proportional to 65,680.88 and 140,697 is: 301,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,680.88 : 140,697 = 140,697 : x
  2. Step 2: Convert to fraction form
    65,680.88/140,697 = 140,697/x
  3. Step 3: Cross multiply
    65,680.88x = 140,697 × 140,697
  4. Step 4: Simplify right side
    65,680.88x = 19,795,645,809
  5. Step 5: Solve for x
    x = 19,795,645,809/65,680.88
  6. Step 6: Final answer
    x = 301,391.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.