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Finding the Third Proportional to 79,469 and 120,013.50

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Solution

The third proportional to 79,469 and 120,013.50 is: 181,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,469 : 120,013.50 = 120,013.50 : x
  2. Step 2: Convert to fraction form
    79,469/120,013.50 = 120,013.50/x
  3. Step 3: Cross multiply
    79,469x = 120,013.50 × 120,013.50
  4. Step 4: Simplify right side
    79,469x = 14,403,240,182.25
  5. Step 5: Solve for x
    x = 14,403,240,182.25/79,469
  6. Step 6: Final answer
    x = 181,243.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.