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Finding the Third Proportional to 40,066 and 92,750

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Solution

The third proportional to 40,066 and 92,750 is: 214,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,066 : 92,750 = 92,750 : x
  2. Step 2: Convert to fraction form
    40,066/92,750 = 92,750/x
  3. Step 3: Cross multiply
    40,066x = 92,750 × 92,750
  4. Step 4: Simplify right side
    40,066x = 8,602,562,500
  5. Step 5: Solve for x
    x = 8,602,562,500/40,066
  6. Step 6: Final answer
    x = 214,709.79

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.