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Finding the Third Proportional to 96,074 and 208,764

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Solution

The third proportional to 96,074 and 208,764 is: 453,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,074 : 208,764 = 208,764 : x
  2. Step 2: Convert to fraction form
    96,074/208,764 = 208,764/x
  3. Step 3: Cross multiply
    96,074x = 208,764 × 208,764
  4. Step 4: Simplify right side
    96,074x = 43,582,407,696
  5. Step 5: Solve for x
    x = 43,582,407,696/96,074
  6. Step 6: Final answer
    x = 453,633.74

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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.