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Finding the Third Proportional to 84,768.19 and 115,122.09

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Solution

The third proportional to 84,768.19 and 115,122.09 is: 156,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768.19 : 115,122.09 = 115,122.09 : x
  2. Step 2: Convert to fraction form
    84,768.19/115,122.09 = 115,122.09/x
  3. Step 3: Cross multiply
    84,768.19x = 115,122.09 × 115,122.09
  4. Step 4: Simplify right side
    84,768.19x = 13,253,096,469.38
  5. Step 5: Solve for x
    x = 13,253,096,469.38/84,768.19
  6. Step 6: Final answer
    x = 156,345.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.