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Finding the Third Proportional to 58,593 and 126,906

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Solution

The third proportional to 58,593 and 126,906 is: 274,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,593 : 126,906 = 126,906 : x
  2. Step 2: Convert to fraction form
    58,593/126,906 = 126,906/x
  3. Step 3: Cross multiply
    58,593x = 126,906 × 126,906
  4. Step 4: Simplify right side
    58,593x = 16,105,132,836
  5. Step 5: Solve for x
    x = 16,105,132,836/58,593
  6. Step 6: Final answer
    x = 274,864.45

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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.