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Finding the Third Proportional to 110,164 and 175,086

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Solution

The third proportional to 110,164 and 175,086 is: 278,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,164 : 175,086 = 175,086 : x
  2. Step 2: Convert to fraction form
    110,164/175,086 = 175,086/x
  3. Step 3: Cross multiply
    110,164x = 175,086 × 175,086
  4. Step 4: Simplify right side
    110,164x = 30,655,107,396
  5. Step 5: Solve for x
    x = 30,655,107,396/110,164
  6. Step 6: Final answer
    x = 278,267.92

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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.