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Finding the Third Proportional to 43,381 and 95,066

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Solution

The third proportional to 43,381 and 95,066 is: 208,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,381 : 95,066 = 95,066 : x
  2. Step 2: Convert to fraction form
    43,381/95,066 = 95,066/x
  3. Step 3: Cross multiply
    43,381x = 95,066 × 95,066
  4. Step 4: Simplify right side
    43,381x = 9,037,544,356
  5. Step 5: Solve for x
    x = 9,037,544,356/43,381
  6. Step 6: Final answer
    x = 208,329.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.