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Finding the Third Proportional to 43,451 and 95,206

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Solution

The third proportional to 43,451 and 95,206 is: 208,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,451 : 95,206 = 95,206 : x
  2. Step 2: Convert to fraction form
    43,451/95,206 = 95,206/x
  3. Step 3: Cross multiply
    43,451x = 95,206 × 95,206
  4. Step 4: Simplify right side
    43,451x = 9,064,182,436
  5. Step 5: Solve for x
    x = 9,064,182,436/43,451
  6. Step 6: Final answer
    x = 208,606.99

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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.