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Finding the Third Proportional to 58,005 and 122,232

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Solution

The third proportional to 58,005 and 122,232 is: 257,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,005 : 122,232 = 122,232 : x
  2. Step 2: Convert to fraction form
    58,005/122,232 = 122,232/x
  3. Step 3: Cross multiply
    58,005x = 122,232 × 122,232
  4. Step 4: Simplify right side
    58,005x = 14,940,661,824
  5. Step 5: Solve for x
    x = 14,940,661,824/58,005
  6. Step 6: Final answer
    x = 257,575.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.