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Finding the Third Proportional to 79,767.75 and 123,497.81

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Solution

The third proportional to 79,767.75 and 123,497.81 is: 191,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,767.75 : 123,497.81 = 123,497.81 : x
  2. Step 2: Convert to fraction form
    79,767.75/123,497.81 = 123,497.81/x
  3. Step 3: Cross multiply
    79,767.75x = 123,497.81 × 123,497.81
  4. Step 4: Simplify right side
    79,767.75x = 15,251,709,692.29
  5. Step 5: Solve for x
    x = 15,251,709,692.29/79,767.75
  6. Step 6: Final answer
    x = 191,201.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.