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Finding the Third Proportional to 88,961 and 164,797

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Solution

The third proportional to 88,961 and 164,797 is: 305,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,961 : 164,797 = 164,797 : x
  2. Step 2: Convert to fraction form
    88,961/164,797 = 164,797/x
  3. Step 3: Cross multiply
    88,961x = 164,797 × 164,797
  4. Step 4: Simplify right side
    88,961x = 27,158,051,209
  5. Step 5: Solve for x
    x = 27,158,051,209/88,961
  6. Step 6: Final answer
    x = 305,280.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.