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Finding the Third Proportional to 65,354 and 141,400

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Solution

The third proportional to 65,354 and 141,400 is: 305,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354 : 141,400 = 141,400 : x
  2. Step 2: Convert to fraction form
    65,354/141,400 = 141,400/x
  3. Step 3: Cross multiply
    65,354x = 141,400 × 141,400
  4. Step 4: Simplify right side
    65,354x = 19,993,960,000
  5. Step 5: Solve for x
    x = 19,993,960,000/65,354
  6. Step 6: Final answer
    x = 305,933.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.