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Finding the Third Proportional to 65,406 and 141,264.75

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Solution

The third proportional to 65,406 and 141,264.75 is: 305,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406 : 141,264.75 = 141,264.75 : x
  2. Step 2: Convert to fraction form
    65,406/141,264.75 = 141,264.75/x
  3. Step 3: Cross multiply
    65,406x = 141,264.75 × 141,264.75
  4. Step 4: Simplify right side
    65,406x = 19,955,729,592.56
  5. Step 5: Solve for x
    x = 19,955,729,592.56/65,406
  6. Step 6: Final answer
    x = 305,105.49

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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.