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Finding the Third Proportional to 72,984 and 109,998

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Solution

The third proportional to 72,984 and 109,998 is: 165,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,984 : 109,998 = 109,998 : x
  2. Step 2: Convert to fraction form
    72,984/109,998 = 109,998/x
  3. Step 3: Cross multiply
    72,984x = 109,998 × 109,998
  4. Step 4: Simplify right side
    72,984x = 12,099,560,004
  5. Step 5: Solve for x
    x = 12,099,560,004/72,984
  6. Step 6: Final answer
    x = 165,783.73

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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.