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Finding the Third Proportional to 71,137.13 and 107,174.81

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Solution

The third proportional to 71,137.13 and 107,174.81 is: 161,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137.13 : 107,174.81 = 107,174.81 : x
  2. Step 2: Convert to fraction form
    71,137.13/107,174.81 = 107,174.81/x
  3. Step 3: Cross multiply
    71,137.13x = 107,174.81 × 107,174.81
  4. Step 4: Simplify right side
    71,137.13x = 11,486,440,434.41
  5. Step 5: Solve for x
    x = 11,486,440,434.41/71,137.13
  6. Step 6: Final answer
    x = 161,469.00

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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.