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Finding the Third Proportional to 72,981.25 and 109,993.88

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Solution

The third proportional to 72,981.25 and 109,993.88 is: 165,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,981.25 : 109,993.88 = 109,993.88 : x
  2. Step 2: Convert to fraction form
    72,981.25/109,993.88 = 109,993.88/x
  3. Step 3: Cross multiply
    72,981.25x = 109,993.88 × 109,993.88
  4. Step 4: Simplify right side
    72,981.25x = 12,098,652,537.52
  5. Step 5: Solve for x
    x = 12,098,652,537.52/72,981.25
  6. Step 6: Final answer
    x = 165,777.55

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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.