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Finding the Third Proportional to 102,434 and 160,689

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Solution

The third proportional to 102,434 and 160,689 is: 252,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434 : 160,689 = 160,689 : x
  2. Step 2: Convert to fraction form
    102,434/160,689 = 160,689/x
  3. Step 3: Cross multiply
    102,434x = 160,689 × 160,689
  4. Step 4: Simplify right side
    102,434x = 25,820,954,721
  5. Step 5: Solve for x
    x = 25,820,954,721/102,434
  6. Step 6: Final answer
    x = 252,074.06

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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.