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Finding the Third Proportional to 96,510 and 212,652

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Solution

The third proportional to 96,510 and 212,652 is: 468,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,510 : 212,652 = 212,652 : x
  2. Step 2: Convert to fraction form
    96,510/212,652 = 212,652/x
  3. Step 3: Cross multiply
    96,510x = 212,652 × 212,652
  4. Step 4: Simplify right side
    96,510x = 45,220,873,104
  5. Step 5: Solve for x
    x = 45,220,873,104/96,510
  6. Step 6: Final answer
    x = 468,561.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.