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Finding the Third Proportional to 90,338 and 134,200

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Solution

The third proportional to 90,338 and 134,200 is: 199,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,338 : 134,200 = 134,200 : x
  2. Step 2: Convert to fraction form
    90,338/134,200 = 134,200/x
  3. Step 3: Cross multiply
    90,338x = 134,200 × 134,200
  4. Step 4: Simplify right side
    90,338x = 18,009,640,000
  5. Step 5: Solve for x
    x = 18,009,640,000/90,338
  6. Step 6: Final answer
    x = 199,358.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.