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Finding the Third Proportional to 73,424 and 113,057

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Solution

The third proportional to 73,424 and 113,057 is: 174,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,424 : 113,057 = 113,057 : x
  2. Step 2: Convert to fraction form
    73,424/113,057 = 113,057/x
  3. Step 3: Cross multiply
    73,424x = 113,057 × 113,057
  4. Step 4: Simplify right side
    73,424x = 12,781,885,249
  5. Step 5: Solve for x
    x = 12,781,885,249/73,424
  6. Step 6: Final answer
    x = 174,083.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.