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Finding the Third Proportional to 59,011.50 and 90,238.50

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Solution

The third proportional to 59,011.50 and 90,238.50 is: 137,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,011.50 : 90,238.50 = 90,238.50 : x
  2. Step 2: Convert to fraction form
    59,011.50/90,238.50 = 90,238.50/x
  3. Step 3: Cross multiply
    59,011.50x = 90,238.50 × 90,238.50
  4. Step 4: Simplify right side
    59,011.50x = 8,142,986,882.25
  5. Step 5: Solve for x
    x = 8,142,986,882.25/59,011.50
  6. Step 6: Final answer
    x = 137,989.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.