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Finding the Third Proportional to 73,396 and 102,126

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Solution

The third proportional to 73,396 and 102,126 is: 142,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,396 : 102,126 = 102,126 : x
  2. Step 2: Convert to fraction form
    73,396/102,126 = 102,126/x
  3. Step 3: Cross multiply
    73,396x = 102,126 × 102,126
  4. Step 4: Simplify right side
    73,396x = 10,429,719,876
  5. Step 5: Solve for x
    x = 10,429,719,876/73,396
  6. Step 6: Final answer
    x = 142,102.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.