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Finding the Third Proportional to 49,959 and 108,333

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Solution

The third proportional to 49,959 and 108,333 is: 234,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959 : 108,333 = 108,333 : x
  2. Step 2: Convert to fraction form
    49,959/108,333 = 108,333/x
  3. Step 3: Cross multiply
    49,959x = 108,333 × 108,333
  4. Step 4: Simplify right side
    49,959x = 11,736,038,889
  5. Step 5: Solve for x
    x = 11,736,038,889/49,959
  6. Step 6: Final answer
    x = 234,913.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.