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Finding the Third Proportional to 102,867 and 160,314

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Solution

The third proportional to 102,867 and 160,314 is: 249,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,867 : 160,314 = 160,314 : x
  2. Step 2: Convert to fraction form
    102,867/160,314 = 160,314/x
  3. Step 3: Cross multiply
    102,867x = 160,314 × 160,314
  4. Step 4: Simplify right side
    102,867x = 25,700,578,596
  5. Step 5: Solve for x
    x = 25,700,578,596/102,867
  6. Step 6: Final answer
    x = 249,842.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.