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Finding the Third Proportional to 96,726 and 207,726

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Solution

The third proportional to 96,726 and 207,726 is: 446,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,726 : 207,726 = 207,726 : x
  2. Step 2: Convert to fraction form
    96,726/207,726 = 207,726/x
  3. Step 3: Cross multiply
    96,726x = 207,726 × 207,726
  4. Step 4: Simplify right side
    96,726x = 43,150,091,076
  5. Step 5: Solve for x
    x = 43,150,091,076/96,726
  6. Step 6: Final answer
    x = 446,106.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.