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Finding the Third Proportional to 65,436 and 141,318

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Solution

The third proportional to 65,436 and 141,318 is: 305,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,436 : 141,318 = 141,318 : x
  2. Step 2: Convert to fraction form
    65,436/141,318 = 141,318/x
  3. Step 3: Cross multiply
    65,436x = 141,318 × 141,318
  4. Step 4: Simplify right side
    65,436x = 19,970,777,124
  5. Step 5: Solve for x
    x = 19,970,777,124/65,436
  6. Step 6: Final answer
    x = 305,195.57

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Why These Related Problems?

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