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Finding the Third Proportional to 53,406.37 and 80,282.55

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Solution

The third proportional to 53,406.37 and 80,282.55 is: 120,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406.37 : 80,282.55 = 80,282.55 : x
  2. Step 2: Convert to fraction form
    53,406.37/80,282.55 = 80,282.55/x
  3. Step 3: Cross multiply
    53,406.37x = 80,282.55 × 80,282.55
  4. Step 4: Simplify right side
    53,406.37x = 6,445,287,646.34
  5. Step 5: Solve for x
    x = 6,445,287,646.34/53,406.37
  6. Step 6: Final answer
    x = 120,683.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.