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Finding the Third Proportional to 50,639 and 110,810

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Solution

The third proportional to 50,639 and 110,810 is: 242,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,639 : 110,810 = 110,810 : x
  2. Step 2: Convert to fraction form
    50,639/110,810 = 110,810/x
  3. Step 3: Cross multiply
    50,639x = 110,810 × 110,810
  4. Step 4: Simplify right side
    50,639x = 12,278,856,100
  5. Step 5: Solve for x
    x = 12,278,856,100/50,639
  6. Step 6: Final answer
    x = 242,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.