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Finding the Third Proportional to 49,779 and 108,307

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Solution

The third proportional to 49,779 and 108,307 is: 235,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779 : 108,307 = 108,307 : x
  2. Step 2: Convert to fraction form
    49,779/108,307 = 108,307/x
  3. Step 3: Cross multiply
    49,779x = 108,307 × 108,307
  4. Step 4: Simplify right side
    49,779x = 11,730,406,249
  5. Step 5: Solve for x
    x = 11,730,406,249/49,779
  6. Step 6: Final answer
    x = 235,649.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.