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Finding the Third Proportional to 95,066 and 132,914

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Solution

The third proportional to 95,066 and 132,914 is: 185,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,066 : 132,914 = 132,914 : x
  2. Step 2: Convert to fraction form
    95,066/132,914 = 132,914/x
  3. Step 3: Cross multiply
    95,066x = 132,914 × 132,914
  4. Step 4: Simplify right side
    95,066x = 17,666,131,396
  5. Step 5: Solve for x
    x = 17,666,131,396/95,066
  6. Step 6: Final answer
    x = 185,830.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.