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Finding the Third Proportional to 59,182.88 and 83,245.50

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Solution

The third proportional to 59,182.88 and 83,245.50 is: 117,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,182.88 : 83,245.50 = 83,245.50 : x
  2. Step 2: Convert to fraction form
    59,182.88/83,245.50 = 83,245.50/x
  3. Step 3: Cross multiply
    59,182.88x = 83,245.50 × 83,245.50
  4. Step 4: Simplify right side
    59,182.88x = 6,929,813,270.25
  5. Step 5: Solve for x
    x = 6,929,813,270.25/59,182.88
  6. Step 6: Final answer
    x = 117,091.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.