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Finding the Third Proportional to 93,344 and 141,963

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Solution

The third proportional to 93,344 and 141,963 is: 215,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,344 : 141,963 = 141,963 : x
  2. Step 2: Convert to fraction form
    93,344/141,963 = 141,963/x
  3. Step 3: Cross multiply
    93,344x = 141,963 × 141,963
  4. Step 4: Simplify right side
    93,344x = 20,153,493,369
  5. Step 5: Solve for x
    x = 20,153,493,369/93,344
  6. Step 6: Final answer
    x = 215,905.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.