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Finding the Third Proportional to 79,038 and 140,533

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Solution

The third proportional to 79,038 and 140,533 is: 249,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,038 : 140,533 = 140,533 : x
  2. Step 2: Convert to fraction form
    79,038/140,533 = 140,533/x
  3. Step 3: Cross multiply
    79,038x = 140,533 × 140,533
  4. Step 4: Simplify right side
    79,038x = 19,749,524,089
  5. Step 5: Solve for x
    x = 19,749,524,089/79,038
  6. Step 6: Final answer
    x = 249,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.