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Finding the Third Proportional to 88,959 and 164,793

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Solution

The third proportional to 88,959 and 164,793 is: 305,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,959 : 164,793 = 164,793 : x
  2. Step 2: Convert to fraction form
    88,959/164,793 = 164,793/x
  3. Step 3: Cross multiply
    88,959x = 164,793 × 164,793
  4. Step 4: Simplify right side
    88,959x = 27,156,732,849
  5. Step 5: Solve for x
    x = 27,156,732,849/88,959
  6. Step 6: Final answer
    x = 305,272.46

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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.