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Finding the Third Proportional to 72,854.44 and 86,523.19

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Solution

The third proportional to 72,854.44 and 86,523.19 is: 102,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,854.44 : 86,523.19 = 86,523.19 : x
  2. Step 2: Convert to fraction form
    72,854.44/86,523.19 = 86,523.19/x
  3. Step 3: Cross multiply
    72,854.44x = 86,523.19 × 86,523.19
  4. Step 4: Simplify right side
    72,854.44x = 7,486,261,975.16
  5. Step 5: Solve for x
    x = 7,486,261,975.16/72,854.44
  6. Step 6: Final answer
    x = 102,756.43

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.