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Finding the Third Proportional to 50,210 and 73,779

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Solution

The third proportional to 50,210 and 73,779 is: 108,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,210 : 73,779 = 73,779 : x
  2. Step 2: Convert to fraction form
    50,210/73,779 = 73,779/x
  3. Step 3: Cross multiply
    50,210x = 73,779 × 73,779
  4. Step 4: Simplify right side
    50,210x = 5,443,340,841
  5. Step 5: Solve for x
    x = 5,443,340,841/50,210
  6. Step 6: Final answer
    x = 108,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.