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Finding the Third Proportional to 50,452.75 and 110,746

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Solution

The third proportional to 50,452.75 and 110,746 is: 243,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,452.75 : 110,746 = 110,746 : x
  2. Step 2: Convert to fraction form
    50,452.75/110,746 = 110,746/x
  3. Step 3: Cross multiply
    50,452.75x = 110,746 × 110,746
  4. Step 4: Simplify right side
    50,452.75x = 12,264,676,516
  5. Step 5: Solve for x
    x = 12,264,676,516/50,452.75
  6. Step 6: Final answer
    x = 243,092.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.