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Finding the Third Proportional to 110,700 and 172,962

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Solution

The third proportional to 110,700 and 172,962 is: 270,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,700 : 172,962 = 172,962 : x
  2. Step 2: Convert to fraction form
    110,700/172,962 = 172,962/x
  3. Step 3: Cross multiply
    110,700x = 172,962 × 172,962
  4. Step 4: Simplify right side
    110,700x = 29,915,853,444
  5. Step 5: Solve for x
    x = 29,915,853,444/110,700
  6. Step 6: Final answer
    x = 270,242.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.