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Finding the Third Proportional to 96,764 and 205,274

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Solution

The third proportional to 96,764 and 205,274 is: 435,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,764 : 205,274 = 205,274 : x
  2. Step 2: Convert to fraction form
    96,764/205,274 = 205,274/x
  3. Step 3: Cross multiply
    96,764x = 205,274 × 205,274
  4. Step 4: Simplify right side
    96,764x = 42,137,415,076
  5. Step 5: Solve for x
    x = 42,137,415,076/96,764
  6. Step 6: Final answer
    x = 435,465.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.