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Finding the Third Proportional to 110,475 and 170,025

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Solution

The third proportional to 110,475 and 170,025 is: 261,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,475 : 170,025 = 170,025 : x
  2. Step 2: Convert to fraction form
    110,475/170,025 = 170,025/x
  3. Step 3: Cross multiply
    110,475x = 170,025 × 170,025
  4. Step 4: Simplify right side
    110,475x = 28,908,500,625
  5. Step 5: Solve for x
    x = 28,908,500,625/110,475
  6. Step 6: Final answer
    x = 261,674.59

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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.