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Finding the Third Proportional to 101,695.50 and 113,997.38

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Solution

The third proportional to 101,695.50 and 113,997.38 is: 127,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.50 : 113,997.38 = 113,997.38 : x
  2. Step 2: Convert to fraction form
    101,695.50/113,997.38 = 113,997.38/x
  3. Step 3: Cross multiply
    101,695.50x = 113,997.38 × 113,997.38
  4. Step 4: Simplify right side
    101,695.50x = 12,995,401,506.89
  5. Step 5: Solve for x
    x = 12,995,401,506.89/101,695.50
  6. Step 6: Final answer
    x = 127,787.38

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.