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Finding the Third Proportional to 75,897 and 117,819

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Solution

The third proportional to 75,897 and 117,819 is: 182,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897 : 117,819 = 117,819 : x
  2. Step 2: Convert to fraction form
    75,897/117,819 = 117,819/x
  3. Step 3: Cross multiply
    75,897x = 117,819 × 117,819
  4. Step 4: Simplify right side
    75,897x = 13,881,316,761
  5. Step 5: Solve for x
    x = 13,881,316,761/75,897
  6. Step 6: Final answer
    x = 182,896.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.