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Finding the Third Proportional to 73,206 and 99,438

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Solution

The third proportional to 73,206 and 99,438 is: 135,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206 : 99,438 = 99,438 : x
  2. Step 2: Convert to fraction form
    73,206/99,438 = 99,438/x
  3. Step 3: Cross multiply
    73,206x = 99,438 × 99,438
  4. Step 4: Simplify right side
    73,206x = 9,887,915,844
  5. Step 5: Solve for x
    x = 9,887,915,844/73,206
  6. Step 6: Final answer
    x = 135,069.75

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Why These Related Problems?

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