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Finding the Third Proportional to 65,367 and 141,102

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Solution

The third proportional to 65,367 and 141,102 is: 304,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367 : 141,102 = 141,102 : x
  2. Step 2: Convert to fraction form
    65,367/141,102 = 141,102/x
  3. Step 3: Cross multiply
    65,367x = 141,102 × 141,102
  4. Step 4: Simplify right side
    65,367x = 19,909,774,404
  5. Step 5: Solve for x
    x = 19,909,774,404/65,367
  6. Step 6: Final answer
    x = 304,584.49

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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.