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Finding the Third Proportional to 107,662.50 and 165,260.25

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Solution

The third proportional to 107,662.50 and 165,260.25 is: 253,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,662.50 : 165,260.25 = 165,260.25 : x
  2. Step 2: Convert to fraction form
    107,662.50/165,260.25 = 165,260.25/x
  3. Step 3: Cross multiply
    107,662.50x = 165,260.25 × 165,260.25
  4. Step 4: Simplify right side
    107,662.50x = 27,310,950,230.06
  5. Step 5: Solve for x
    x = 27,310,950,230.06/107,662.50
  6. Step 6: Final answer
    x = 253,671.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.