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Finding the Third Proportional to 96,726 and 217,260

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Solution

The third proportional to 96,726 and 217,260 is: 487,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,726 : 217,260 = 217,260 : x
  2. Step 2: Convert to fraction form
    96,726/217,260 = 217,260/x
  3. Step 3: Cross multiply
    96,726x = 217,260 × 217,260
  4. Step 4: Simplify right side
    96,726x = 47,201,907,600
  5. Step 5: Solve for x
    x = 47,201,907,600/96,726
  6. Step 6: Final answer
    x = 487,996.07

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.