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Finding the Third Proportional to 126,099.91 and 272,805.47

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Solution

The third proportional to 126,099.91 and 272,805.47 is: 590,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,099.91 : 272,805.47 = 272,805.47 : x
  2. Step 2: Convert to fraction form
    126,099.91/272,805.47 = 272,805.47/x
  3. Step 3: Cross multiply
    126,099.91x = 272,805.47 × 272,805.47
  4. Step 4: Simplify right side
    126,099.91x = 74,422,823,779.91
  5. Step 5: Solve for x
    x = 74,422,823,779.91/126,099.91
  6. Step 6: Final answer
    x = 590,189.33

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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.