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Finding the Third Proportional to 75,103 and 160,868

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Solution

The third proportional to 75,103 and 160,868 is: 344,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,103 : 160,868 = 160,868 : x
  2. Step 2: Convert to fraction form
    75,103/160,868 = 160,868/x
  3. Step 3: Cross multiply
    75,103x = 160,868 × 160,868
  4. Step 4: Simplify right side
    75,103x = 25,878,513,424
  5. Step 5: Solve for x
    x = 25,878,513,424/75,103
  6. Step 6: Final answer
    x = 344,573.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.