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Finding the Third Proportional to 107,877 and 237,219

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Solution

The third proportional to 107,877 and 237,219 is: 521,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,877 : 237,219 = 237,219 : x
  2. Step 2: Convert to fraction form
    107,877/237,219 = 237,219/x
  3. Step 3: Cross multiply
    107,877x = 237,219 × 237,219
  4. Step 4: Simplify right side
    107,877x = 56,272,853,961
  5. Step 5: Solve for x
    x = 56,272,853,961/107,877
  6. Step 6: Final answer
    x = 521,639.03

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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.