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Finding the Third Proportional to 98,859 and 149,675

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Solution

The third proportional to 98,859 and 149,675 is: 226,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,859 : 149,675 = 149,675 : x
  2. Step 2: Convert to fraction form
    98,859/149,675 = 149,675/x
  3. Step 3: Cross multiply
    98,859x = 149,675 × 149,675
  4. Step 4: Simplify right side
    98,859x = 22,402,605,625
  5. Step 5: Solve for x
    x = 22,402,605,625/98,859
  6. Step 6: Final answer
    x = 226,611.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.