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Finding the Third Proportional to 73,926 and 101,169

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Solution

The third proportional to 73,926 and 101,169 is: 138,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926 : 101,169 = 101,169 : x
  2. Step 2: Convert to fraction form
    73,926/101,169 = 101,169/x
  3. Step 3: Cross multiply
    73,926x = 101,169 × 101,169
  4. Step 4: Simplify right side
    73,926x = 10,235,166,561
  5. Step 5: Solve for x
    x = 10,235,166,561/73,926
  6. Step 6: Final answer
    x = 138,451.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.