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Finding the Third Proportional to 43,162.50 and 94,170.50

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Solution

The third proportional to 43,162.50 and 94,170.50 is: 205,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,162.50 : 94,170.50 = 94,170.50 : x
  2. Step 2: Convert to fraction form
    43,162.50/94,170.50 = 94,170.50/x
  3. Step 3: Cross multiply
    43,162.50x = 94,170.50 × 94,170.50
  4. Step 4: Simplify right side
    43,162.50x = 8,868,083,070.25
  5. Step 5: Solve for x
    x = 8,868,083,070.25/43,162.50
  6. Step 6: Final answer
    x = 205,458.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.