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Finding the Third Proportional to 49,779 and 117,468

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Solution

The third proportional to 49,779 and 117,468 is: 277,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779 : 117,468 = 117,468 : x
  2. Step 2: Convert to fraction form
    49,779/117,468 = 117,468/x
  3. Step 3: Cross multiply
    49,779x = 117,468 × 117,468
  4. Step 4: Simplify right side
    49,779x = 13,798,731,024
  5. Step 5: Solve for x
    x = 13,798,731,024/49,779
  6. Step 6: Final answer
    x = 277,199.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.