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Finding the Third Proportional to 65,150 and 141,334

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Solution

The third proportional to 65,150 and 141,334 is: 306,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,150 : 141,334 = 141,334 : x
  2. Step 2: Convert to fraction form
    65,150/141,334 = 141,334/x
  3. Step 3: Cross multiply
    65,150x = 141,334 × 141,334
  4. Step 4: Simplify right side
    65,150x = 19,975,299,556
  5. Step 5: Solve for x
    x = 19,975,299,556/65,150
  6. Step 6: Final answer
    x = 306,604.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.