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Finding the Third Proportional to 90,116 and 134,850

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Solution

The third proportional to 90,116 and 134,850 is: 201,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,116 : 134,850 = 134,850 : x
  2. Step 2: Convert to fraction form
    90,116/134,850 = 134,850/x
  3. Step 3: Cross multiply
    90,116x = 134,850 × 134,850
  4. Step 4: Simplify right side
    90,116x = 18,184,522,500
  5. Step 5: Solve for x
    x = 18,184,522,500/90,116
  6. Step 6: Final answer
    x = 201,790.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.