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Finding the Third Proportional to 96,820 and 212,272

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Solution

The third proportional to 96,820 and 212,272 is: 465,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,820 : 212,272 = 212,272 : x
  2. Step 2: Convert to fraction form
    96,820/212,272 = 212,272/x
  3. Step 3: Cross multiply
    96,820x = 212,272 × 212,272
  4. Step 4: Simplify right side
    96,820x = 45,059,401,984
  5. Step 5: Solve for x
    x = 45,059,401,984/96,820
  6. Step 6: Final answer
    x = 465,393.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.