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Finding the Third Proportional to 96,665 and 212,959

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Solution

The third proportional to 96,665 and 212,959 is: 469,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,665 : 212,959 = 212,959 : x
  2. Step 2: Convert to fraction form
    96,665/212,959 = 212,959/x
  3. Step 3: Cross multiply
    96,665x = 212,959 × 212,959
  4. Step 4: Simplify right side
    96,665x = 45,351,535,681
  5. Step 5: Solve for x
    x = 45,351,535,681/96,665
  6. Step 6: Final answer
    x = 469,161.91

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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.