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Finding the Third Proportional to 72,982 and 110,003

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Solution

The third proportional to 72,982 and 110,003 is: 165,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982 : 110,003 = 110,003 : x
  2. Step 2: Convert to fraction form
    72,982/110,003 = 110,003/x
  3. Step 3: Cross multiply
    72,982x = 110,003 × 110,003
  4. Step 4: Simplify right side
    72,982x = 12,100,660,009
  5. Step 5: Solve for x
    x = 12,100,660,009/72,982
  6. Step 6: Final answer
    x = 165,803.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.