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Finding the Third Proportional to 75,203 and 162,677

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Solution

The third proportional to 75,203 and 162,677 is: 351,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203 : 162,677 = 162,677 : x
  2. Step 2: Convert to fraction form
    75,203/162,677 = 162,677/x
  3. Step 3: Cross multiply
    75,203x = 162,677 × 162,677
  4. Step 4: Simplify right side
    75,203x = 26,463,806,329
  5. Step 5: Solve for x
    x = 26,463,806,329/75,203
  6. Step 6: Final answer
    x = 351,898.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.