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Finding the Third Proportional to 90,472 and 183,375

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Solution

The third proportional to 90,472 and 183,375 is: 371,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,472 : 183,375 = 183,375 : x
  2. Step 2: Convert to fraction form
    90,472/183,375 = 183,375/x
  3. Step 3: Cross multiply
    90,472x = 183,375 × 183,375
  4. Step 4: Simplify right side
    90,472x = 33,626,390,625
  5. Step 5: Solve for x
    x = 33,626,390,625/90,472
  6. Step 6: Final answer
    x = 371,677.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.