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Finding the Third Proportional to 101,993 and 168,558

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Solution

The third proportional to 101,993 and 168,558 is: 278,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993 : 168,558 = 168,558 : x
  2. Step 2: Convert to fraction form
    101,993/168,558 = 168,558/x
  3. Step 3: Cross multiply
    101,993x = 168,558 × 168,558
  4. Step 4: Simplify right side
    101,993x = 28,411,799,364
  5. Step 5: Solve for x
    x = 28,411,799,364/101,993
  6. Step 6: Final answer
    x = 278,566.17

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.