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Finding the Third Proportional to 102,863.25 and 160,309.13

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Solution

The third proportional to 102,863.25 and 160,309.13 is: 249,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,863.25 : 160,309.13 = 160,309.13 : x
  2. Step 2: Convert to fraction form
    102,863.25/160,309.13 = 160,309.13/x
  3. Step 3: Cross multiply
    102,863.25x = 160,309.13 × 160,309.13
  4. Step 4: Simplify right side
    102,863.25x = 25,699,015,558.27
  5. Step 5: Solve for x
    x = 25,699,015,558.27/102,863.25
  6. Step 6: Final answer
    x = 249,836.71

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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.