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Finding the Third Proportional to 90,705 and 173,406

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Solution

The third proportional to 90,705 and 173,406 is: 331,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,705 : 173,406 = 173,406 : x
  2. Step 2: Convert to fraction form
    90,705/173,406 = 173,406/x
  3. Step 3: Cross multiply
    90,705x = 173,406 × 173,406
  4. Step 4: Simplify right side
    90,705x = 30,069,640,836
  5. Step 5: Solve for x
    x = 30,069,640,836/90,705
  6. Step 6: Final answer
    x = 331,510.29

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.