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Finding the Third Proportional to 72,333 and 111,989.25

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Solution

The third proportional to 72,333 and 111,989.25 is: 173,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,333 : 111,989.25 = 111,989.25 : x
  2. Step 2: Convert to fraction form
    72,333/111,989.25 = 111,989.25/x
  3. Step 3: Cross multiply
    72,333x = 111,989.25 × 111,989.25
  4. Step 4: Simplify right side
    72,333x = 12,541,592,115.56
  5. Step 5: Solve for x
    x = 12,541,592,115.56/72,333
  6. Step 6: Final answer
    x = 173,386.87

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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.