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Finding the Third Proportional to 102,246 and 160,425

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Solution

The third proportional to 102,246 and 160,425 is: 251,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246 : 160,425 = 160,425 : x
  2. Step 2: Convert to fraction form
    102,246/160,425 = 160,425/x
  3. Step 3: Cross multiply
    102,246x = 160,425 × 160,425
  4. Step 4: Simplify right side
    102,246x = 25,736,180,625
  5. Step 5: Solve for x
    x = 25,736,180,625/102,246
  6. Step 6: Final answer
    x = 251,708.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.