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Finding the Third Proportional to 90,416.25 and 135,330.75

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Solution

The third proportional to 90,416.25 and 135,330.75 is: 202,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,416.25 : 135,330.75 = 135,330.75 : x
  2. Step 2: Convert to fraction form
    90,416.25/135,330.75 = 135,330.75/x
  3. Step 3: Cross multiply
    90,416.25x = 135,330.75 × 135,330.75
  4. Step 4: Simplify right side
    90,416.25x = 18,314,411,895.56
  5. Step 5: Solve for x
    x = 18,314,411,895.56/90,416.25
  6. Step 6: Final answer
    x = 202,556.64

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Why These Related Problems?

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