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Finding the Third Proportional to 65,436 and 141,241

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Solution

The third proportional to 65,436 and 141,241 is: 304,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,436 : 141,241 = 141,241 : x
  2. Step 2: Convert to fraction form
    65,436/141,241 = 141,241/x
  3. Step 3: Cross multiply
    65,436x = 141,241 × 141,241
  4. Step 4: Simplify right side
    65,436x = 19,949,020,081
  5. Step 5: Solve for x
    x = 19,949,020,081/65,436
  6. Step 6: Final answer
    x = 304,863.07

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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.