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Finding the Third Proportional to 50,937 and 110,729

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Solution

The third proportional to 50,937 and 110,729 is: 240,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,937 : 110,729 = 110,729 : x
  2. Step 2: Convert to fraction form
    50,937/110,729 = 110,729/x
  3. Step 3: Cross multiply
    50,937x = 110,729 × 110,729
  4. Step 4: Simplify right side
    50,937x = 12,260,911,441
  5. Step 5: Solve for x
    x = 12,260,911,441/50,937
  6. Step 6: Final answer
    x = 240,707.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.