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Finding the Third Proportional to 49,959 and 117,029

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Solution

The third proportional to 49,959 and 117,029 is: 274,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959 : 117,029 = 117,029 : x
  2. Step 2: Convert to fraction form
    49,959/117,029 = 117,029/x
  3. Step 3: Cross multiply
    49,959x = 117,029 × 117,029
  4. Step 4: Simplify right side
    49,959x = 13,695,786,841
  5. Step 5: Solve for x
    x = 13,695,786,841/49,959
  6. Step 6: Final answer
    x = 274,140.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.