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Finding the Third Proportional to 96,272 and 211,142

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Solution

The third proportional to 96,272 and 211,142 is: 463,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,272 : 211,142 = 211,142 : x
  2. Step 2: Convert to fraction form
    96,272/211,142 = 211,142/x
  3. Step 3: Cross multiply
    96,272x = 211,142 × 211,142
  4. Step 4: Simplify right side
    96,272x = 44,580,944,164
  5. Step 5: Solve for x
    x = 44,580,944,164/96,272
  6. Step 6: Final answer
    x = 463,072.80

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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.