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Finding the Third Proportional to 42,619.50 and 89,641.69

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Solution

The third proportional to 42,619.50 and 89,641.69 is: 188,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,619.50 : 89,641.69 = 89,641.69 : x
  2. Step 2: Convert to fraction form
    42,619.50/89,641.69 = 89,641.69/x
  3. Step 3: Cross multiply
    42,619.50x = 89,641.69 × 89,641.69
  4. Step 4: Simplify right side
    42,619.50x = 8,035,632,137.85
  5. Step 5: Solve for x
    x = 8,035,632,137.85/42,619.50
  6. Step 6: Final answer
    x = 188,543.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.