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Finding the Third Proportional to 59,185.50 and 83,250

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Solution

The third proportional to 59,185.50 and 83,250 is: 117,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,185.50 : 83,250 = 83,250 : x
  2. Step 2: Convert to fraction form
    59,185.50/83,250 = 83,250/x
  3. Step 3: Cross multiply
    59,185.50x = 83,250 × 83,250
  4. Step 4: Simplify right side
    59,185.50x = 6,930,562,500
  5. Step 5: Solve for x
    x = 6,930,562,500/59,185.50
  6. Step 6: Final answer
    x = 117,098.99

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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.