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Finding the Third Proportional to 75,897 and 164,916

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Solution

The third proportional to 75,897 and 164,916 is: 358,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897 : 164,916 = 164,916 : x
  2. Step 2: Convert to fraction form
    75,897/164,916 = 164,916/x
  3. Step 3: Cross multiply
    75,897x = 164,916 × 164,916
  4. Step 4: Simplify right side
    75,897x = 27,197,287,056
  5. Step 5: Solve for x
    x = 27,197,287,056/75,897
  6. Step 6: Final answer
    x = 358,344.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.