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Finding the Third Proportional to 79,065 and 123,133.50

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Solution

The third proportional to 79,065 and 123,133.50 is: 191,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,065 : 123,133.50 = 123,133.50 : x
  2. Step 2: Convert to fraction form
    79,065/123,133.50 = 123,133.50/x
  3. Step 3: Cross multiply
    79,065x = 123,133.50 × 123,133.50
  4. Step 4: Simplify right side
    79,065x = 15,161,858,822.25
  5. Step 5: Solve for x
    x = 15,161,858,822.25/79,065
  6. Step 6: Final answer
    x = 191,764.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.