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Finding the Third Proportional to 123,358 and 163,997

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Solution

The third proportional to 123,358 and 163,997 is: 218,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,358 : 163,997 = 163,997 : x
  2. Step 2: Convert to fraction form
    123,358/163,997 = 163,997/x
  3. Step 3: Cross multiply
    123,358x = 163,997 × 163,997
  4. Step 4: Simplify right side
    123,358x = 26,895,016,009
  5. Step 5: Solve for x
    x = 26,895,016,009/123,358
  6. Step 6: Final answer
    x = 218,024.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.