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Finding the Third Proportional to 110,430 and 171,963

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Solution

The third proportional to 110,430 and 171,963 is: 267,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,430 : 171,963 = 171,963 : x
  2. Step 2: Convert to fraction form
    110,430/171,963 = 171,963/x
  3. Step 3: Cross multiply
    110,430x = 171,963 × 171,963
  4. Step 4: Simplify right side
    110,430x = 29,571,273,369
  5. Step 5: Solve for x
    x = 29,571,273,369/110,430
  6. Step 6: Final answer
    x = 267,782.97

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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.