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Finding the Third Proportional to 110,022 and 156,937

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Solution

The third proportional to 110,022 and 156,937 is: 223,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,022 : 156,937 = 156,937 : x
  2. Step 2: Convert to fraction form
    110,022/156,937 = 156,937/x
  3. Step 3: Cross multiply
    110,022x = 156,937 × 156,937
  4. Step 4: Simplify right side
    110,022x = 24,629,221,969
  5. Step 5: Solve for x
    x = 24,629,221,969/110,022
  6. Step 6: Final answer
    x = 223,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.