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Finding the Third Proportional to 64,942 and 141,794

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Solution

The third proportional to 64,942 and 141,794 is: 309,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,942 : 141,794 = 141,794 : x
  2. Step 2: Convert to fraction form
    64,942/141,794 = 141,794/x
  3. Step 3: Cross multiply
    64,942x = 141,794 × 141,794
  4. Step 4: Simplify right side
    64,942x = 20,105,538,436
  5. Step 5: Solve for x
    x = 20,105,538,436/64,942
  6. Step 6: Final answer
    x = 309,592.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.