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Finding the Third Proportional to 50,742 and 72,122.25

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Solution

The third proportional to 50,742 and 72,122.25 is: 102,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742 : 72,122.25 = 72,122.25 : x
  2. Step 2: Convert to fraction form
    50,742/72,122.25 = 72,122.25/x
  3. Step 3: Cross multiply
    50,742x = 72,122.25 × 72,122.25
  4. Step 4: Simplify right side
    50,742x = 5,201,618,945.06
  5. Step 5: Solve for x
    x = 5,201,618,945.06/50,742
  6. Step 6: Final answer
    x = 102,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.