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Finding the Third Proportional to 41,555 and 89,063.50

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Solution

The third proportional to 41,555 and 89,063.50 is: 190,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,555 : 89,063.50 = 89,063.50 : x
  2. Step 2: Convert to fraction form
    41,555/89,063.50 = 89,063.50/x
  3. Step 3: Cross multiply
    41,555x = 89,063.50 × 89,063.50
  4. Step 4: Simplify right side
    41,555x = 7,932,307,032.25
  5. Step 5: Solve for x
    x = 7,932,307,032.25/41,555
  6. Step 6: Final answer
    x = 190,886.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.