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Finding the Third Proportional to 76,771.13 and 117,588.38

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Solution

The third proportional to 76,771.13 and 117,588.38 is: 180,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.13 : 117,588.38 = 117,588.38 : x
  2. Step 2: Convert to fraction form
    76,771.13/117,588.38 = 117,588.38/x
  3. Step 3: Cross multiply
    76,771.13x = 117,588.38 × 117,588.38
  4. Step 4: Simplify right side
    76,771.13x = 13,827,025,935.14
  5. Step 5: Solve for x
    x = 13,827,025,935.14/76,771.13
  6. Step 6: Final answer
    x = 180,107.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.