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Finding the Third Proportional to 110,536 and 172,912

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Solution

The third proportional to 110,536 and 172,912 is: 270,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536 : 172,912 = 172,912 : x
  2. Step 2: Convert to fraction form
    110,536/172,912 = 172,912/x
  3. Step 3: Cross multiply
    110,536x = 172,912 × 172,912
  4. Step 4: Simplify right side
    110,536x = 29,898,559,744
  5. Step 5: Solve for x
    x = 29,898,559,744/110,536
  6. Step 6: Final answer
    x = 270,487.08

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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.