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Finding the Third Proportional to 65,493 and 141,418.50

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Solution

The third proportional to 65,493 and 141,418.50 is: 305,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,493 : 141,418.50 = 141,418.50 : x
  2. Step 2: Convert to fraction form
    65,493/141,418.50 = 141,418.50/x
  3. Step 3: Cross multiply
    65,493x = 141,418.50 × 141,418.50
  4. Step 4: Simplify right side
    65,493x = 19,999,192,142.25
  5. Step 5: Solve for x
    x = 19,999,192,142.25/65,493
  6. Step 6: Final answer
    x = 305,363.81

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