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Finding the Third Proportional to 72,337 and 111,995

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Solution

The third proportional to 72,337 and 111,995 is: 173,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,337 : 111,995 = 111,995 : x
  2. Step 2: Convert to fraction form
    72,337/111,995 = 111,995/x
  3. Step 3: Cross multiply
    72,337x = 111,995 × 111,995
  4. Step 4: Simplify right side
    72,337x = 12,542,880,025
  5. Step 5: Solve for x
    x = 12,542,880,025/72,337
  6. Step 6: Final answer
    x = 173,395.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.