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Finding the Third Proportional to 110,642 and 172,875

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Solution

The third proportional to 110,642 and 172,875 is: 270,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642 : 172,875 = 172,875 : x
  2. Step 2: Convert to fraction form
    110,642/172,875 = 172,875/x
  3. Step 3: Cross multiply
    110,642x = 172,875 × 172,875
  4. Step 4: Simplify right side
    110,642x = 29,885,765,625
  5. Step 5: Solve for x
    x = 29,885,765,625/110,642
  6. Step 6: Final answer
    x = 270,112.30

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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.