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Finding the Third Proportional to 59,609.25 and 90,021.75

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Solution

The third proportional to 59,609.25 and 90,021.75 is: 135,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,609.25 : 90,021.75 = 90,021.75 : x
  2. Step 2: Convert to fraction form
    59,609.25/90,021.75 = 90,021.75/x
  3. Step 3: Cross multiply
    59,609.25x = 90,021.75 × 90,021.75
  4. Step 4: Simplify right side
    59,609.25x = 8,103,915,473.06
  5. Step 5: Solve for x
    x = 8,103,915,473.06/59,609.25
  6. Step 6: Final answer
    x = 135,950.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.