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Finding the Third Proportional to 90,300 and 135,123

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Solution

The third proportional to 90,300 and 135,123 is: 202,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,300 : 135,123 = 135,123 : x
  2. Step 2: Convert to fraction form
    90,300/135,123 = 135,123/x
  3. Step 3: Cross multiply
    90,300x = 135,123 × 135,123
  4. Step 4: Simplify right side
    90,300x = 18,258,225,129
  5. Step 5: Solve for x
    x = 18,258,225,129/90,300
  6. Step 6: Final answer
    x = 202,195.18

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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.