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Finding the Third Proportional to 50,844 and 77,779

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Solution

The third proportional to 50,844 and 77,779 is: 118,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,844 : 77,779 = 77,779 : x
  2. Step 2: Convert to fraction form
    50,844/77,779 = 77,779/x
  3. Step 3: Cross multiply
    50,844x = 77,779 × 77,779
  4. Step 4: Simplify right side
    50,844x = 6,049,572,841
  5. Step 5: Solve for x
    x = 6,049,572,841/50,844
  6. Step 6: Final answer
    x = 118,983.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.