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Finding the Third Proportional to 107,969 and 236,671

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Solution

The third proportional to 107,969 and 236,671 is: 518,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,969 : 236,671 = 236,671 : x
  2. Step 2: Convert to fraction form
    107,969/236,671 = 236,671/x
  3. Step 3: Cross multiply
    107,969x = 236,671 × 236,671
  4. Step 4: Simplify right side
    107,969x = 56,013,162,241
  5. Step 5: Solve for x
    x = 56,013,162,241/107,969
  6. Step 6: Final answer
    x = 518,789.30

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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.