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Finding the Third Proportional to 101,179.13 and 131,311.13

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Solution

The third proportional to 101,179.13 and 131,311.13 is: 170,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,179.13 : 131,311.13 = 131,311.13 : x
  2. Step 2: Convert to fraction form
    101,179.13/131,311.13 = 131,311.13/x
  3. Step 3: Cross multiply
    101,179.13x = 131,311.13 × 131,311.13
  4. Step 4: Simplify right side
    101,179.13x = 17,242,611,548.77
  5. Step 5: Solve for x
    x = 17,242,611,548.77/101,179.13
  6. Step 6: Final answer
    x = 170,416.69

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.