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Finding the Third Proportional to 110,418 and 175,125

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Solution

The third proportional to 110,418 and 175,125 is: 277,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,418 : 175,125 = 175,125 : x
  2. Step 2: Convert to fraction form
    110,418/175,125 = 175,125/x
  3. Step 3: Cross multiply
    110,418x = 175,125 × 175,125
  4. Step 4: Simplify right side
    110,418x = 30,668,765,625
  5. Step 5: Solve for x
    x = 30,668,765,625/110,418
  6. Step 6: Final answer
    x = 277,751.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.