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Finding the Third Proportional to 75,578 and 117,963

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Solution

The third proportional to 75,578 and 117,963 is: 184,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578 : 117,963 = 117,963 : x
  2. Step 2: Convert to fraction form
    75,578/117,963 = 117,963/x
  3. Step 3: Cross multiply
    75,578x = 117,963 × 117,963
  4. Step 4: Simplify right side
    75,578x = 13,915,269,369
  5. Step 5: Solve for x
    x = 13,915,269,369/75,578
  6. Step 6: Final answer
    x = 184,117.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.