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Finding the Third Proportional to 59,891.50 and 89,829.50

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Solution

The third proportional to 59,891.50 and 89,829.50 is: 134,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,891.50 : 89,829.50 = 89,829.50 : x
  2. Step 2: Convert to fraction form
    59,891.50/89,829.50 = 89,829.50/x
  3. Step 3: Cross multiply
    59,891.50x = 89,829.50 × 89,829.50
  4. Step 4: Simplify right side
    59,891.50x = 8,069,339,070.25
  5. Step 5: Solve for x
    x = 8,069,339,070.25/59,891.50
  6. Step 6: Final answer
    x = 134,732.63

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