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Finding the Third Proportional to 77,424 and 113,147

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Solution

The third proportional to 77,424 and 113,147 is: 165,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424 : 113,147 = 113,147 : x
  2. Step 2: Convert to fraction form
    77,424/113,147 = 113,147/x
  3. Step 3: Cross multiply
    77,424x = 113,147 × 113,147
  4. Step 4: Simplify right side
    77,424x = 12,802,243,609
  5. Step 5: Solve for x
    x = 12,802,243,609/77,424
  6. Step 6: Final answer
    x = 165,352.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.