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Finding the Third Proportional to 58,006 and 126,665

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Solution

The third proportional to 58,006 and 126,665 is: 276,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,006 : 126,665 = 126,665 : x
  2. Step 2: Convert to fraction form
    58,006/126,665 = 126,665/x
  3. Step 3: Cross multiply
    58,006x = 126,665 × 126,665
  4. Step 4: Simplify right side
    58,006x = 16,044,022,225
  5. Step 5: Solve for x
    x = 16,044,022,225/58,006
  6. Step 6: Final answer
    x = 276,592.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.