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Finding the Third Proportional to 107,968 and 237,192

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Solution

The third proportional to 107,968 and 237,192 is: 521,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,968 : 237,192 = 237,192 : x
  2. Step 2: Convert to fraction form
    107,968/237,192 = 237,192/x
  3. Step 3: Cross multiply
    107,968x = 237,192 × 237,192
  4. Step 4: Simplify right side
    107,968x = 56,260,044,864
  5. Step 5: Solve for x
    x = 56,260,044,864/107,968
  6. Step 6: Final answer
    x = 521,080.74

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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.