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Finding the Third Proportional to 90,493 and 183,415

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Solution

The third proportional to 90,493 and 183,415 is: 371,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,493 : 183,415 = 183,415 : x
  2. Step 2: Convert to fraction form
    90,493/183,415 = 183,415/x
  3. Step 3: Cross multiply
    90,493x = 183,415 × 183,415
  4. Step 4: Simplify right side
    90,493x = 33,641,062,225
  5. Step 5: Solve for x
    x = 33,641,062,225/90,493
  6. Step 6: Final answer
    x = 371,753.20

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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.