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Finding the Third Proportional to 90,176 and 134,748

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Solution

The third proportional to 90,176 and 134,748 is: 201,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,176 : 134,748 = 134,748 : x
  2. Step 2: Convert to fraction form
    90,176/134,748 = 134,748/x
  3. Step 3: Cross multiply
    90,176x = 134,748 × 134,748
  4. Step 4: Simplify right side
    90,176x = 18,157,023,504
  5. Step 5: Solve for x
    x = 18,157,023,504/90,176
  6. Step 6: Final answer
    x = 201,350.95

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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.