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Finding the Third Proportional to 72,488.50 and 86,846.50

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Solution

The third proportional to 72,488.50 and 86,846.50 is: 104,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,488.50 : 86,846.50 = 86,846.50 : x
  2. Step 2: Convert to fraction form
    72,488.50/86,846.50 = 86,846.50/x
  3. Step 3: Cross multiply
    72,488.50x = 86,846.50 × 86,846.50
  4. Step 4: Simplify right side
    72,488.50x = 7,542,314,562.25
  5. Step 5: Solve for x
    x = 7,542,314,562.25/72,488.50
  6. Step 6: Final answer
    x = 104,048.43

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.