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Finding the Third Proportional to 96,720 and 212,448

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Solution

The third proportional to 96,720 and 212,448 is: 466,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720 : 212,448 = 212,448 : x
  2. Step 2: Convert to fraction form
    96,720/212,448 = 212,448/x
  3. Step 3: Cross multiply
    96,720x = 212,448 × 212,448
  4. Step 4: Simplify right side
    96,720x = 45,134,152,704
  5. Step 5: Solve for x
    x = 45,134,152,704/96,720
  6. Step 6: Final answer
    x = 466,647.57

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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.