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Finding the Third Proportional to 93,845 and 141,578

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Solution

The third proportional to 93,845 and 141,578 is: 213,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,845 : 141,578 = 141,578 : x
  2. Step 2: Convert to fraction form
    93,845/141,578 = 141,578/x
  3. Step 3: Cross multiply
    93,845x = 141,578 × 141,578
  4. Step 4: Simplify right side
    93,845x = 20,044,330,084
  5. Step 5: Solve for x
    x = 20,044,330,084/93,845
  6. Step 6: Final answer
    x = 213,589.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.