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Finding the Third Proportional to 58,242 and 126,005

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Solution

The third proportional to 58,242 and 126,005 is: 272,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,242 : 126,005 = 126,005 : x
  2. Step 2: Convert to fraction form
    58,242/126,005 = 126,005/x
  3. Step 3: Cross multiply
    58,242x = 126,005 × 126,005
  4. Step 4: Simplify right side
    58,242x = 15,877,260,025
  5. Step 5: Solve for x
    x = 15,877,260,025/58,242
  6. Step 6: Final answer
    x = 272,608.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.