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Finding the Third Proportional to 40,272.50 and 90,988.50

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Solution

The third proportional to 40,272.50 and 90,988.50 is: 205,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,272.50 : 90,988.50 = 90,988.50 : x
  2. Step 2: Convert to fraction form
    40,272.50/90,988.50 = 90,988.50/x
  3. Step 3: Cross multiply
    40,272.50x = 90,988.50 × 90,988.50
  4. Step 4: Simplify right side
    40,272.50x = 8,278,907,132.25
  5. Step 5: Solve for x
    x = 8,278,907,132.25/40,272.50
  6. Step 6: Final answer
    x = 205,572.22

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.