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Finding the Third Proportional to 71,743.50 and 90,967.50

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Solution

The third proportional to 71,743.50 and 90,967.50 is: 115,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.50 : 90,967.50 = 90,967.50 : x
  2. Step 2: Convert to fraction form
    71,743.50/90,967.50 = 90,967.50/x
  3. Step 3: Cross multiply
    71,743.50x = 90,967.50 × 90,967.50
  4. Step 4: Simplify right side
    71,743.50x = 8,275,086,056.25
  5. Step 5: Solve for x
    x = 8,275,086,056.25/71,743.50
  6. Step 6: Final answer
    x = 115,342.66

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.