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Finding the Third Proportional to 92,163 and 146,997

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Solution

The third proportional to 92,163 and 146,997 is: 234,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,163 : 146,997 = 146,997 : x
  2. Step 2: Convert to fraction form
    92,163/146,997 = 146,997/x
  3. Step 3: Cross multiply
    92,163x = 146,997 × 146,997
  4. Step 4: Simplify right side
    92,163x = 21,608,118,009
  5. Step 5: Solve for x
    x = 21,608,118,009/92,163
  6. Step 6: Final answer
    x = 234,455.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.