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Finding the Third Proportional to 110,612 and 170,115

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Solution

The third proportional to 110,612 and 170,115 is: 261,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,612 : 170,115 = 170,115 : x
  2. Step 2: Convert to fraction form
    110,612/170,115 = 170,115/x
  3. Step 3: Cross multiply
    110,612x = 170,115 × 170,115
  4. Step 4: Simplify right side
    110,612x = 28,939,113,225
  5. Step 5: Solve for x
    x = 28,939,113,225/110,612
  6. Step 6: Final answer
    x = 261,627.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.