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Finding the Third Proportional to 90,139.50 and 195,081

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Solution

The third proportional to 90,139.50 and 195,081 is: 422,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,139.50 : 195,081 = 195,081 : x
  2. Step 2: Convert to fraction form
    90,139.50/195,081 = 195,081/x
  3. Step 3: Cross multiply
    90,139.50x = 195,081 × 195,081
  4. Step 4: Simplify right side
    90,139.50x = 38,056,596,561
  5. Step 5: Solve for x
    x = 38,056,596,561/90,139.50
  6. Step 6: Final answer
    x = 422,196.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.