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Finding the Third Proportional to 79,042 and 120,533

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Solution

The third proportional to 79,042 and 120,533 is: 183,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,042 : 120,533 = 120,533 : x
  2. Step 2: Convert to fraction form
    79,042/120,533 = 120,533/x
  3. Step 3: Cross multiply
    79,042x = 120,533 × 120,533
  4. Step 4: Simplify right side
    79,042x = 14,528,204,089
  5. Step 5: Solve for x
    x = 14,528,204,089/79,042
  6. Step 6: Final answer
    x = 183,803.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.