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Finding the Third Proportional to 75,575.25 and 164,758.50

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Solution

The third proportional to 75,575.25 and 164,758.50 is: 359,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,575.25 : 164,758.50 = 164,758.50 : x
  2. Step 2: Convert to fraction form
    75,575.25/164,758.50 = 164,758.50/x
  3. Step 3: Cross multiply
    75,575.25x = 164,758.50 × 164,758.50
  4. Step 4: Simplify right side
    75,575.25x = 27,145,363,322.25
  5. Step 5: Solve for x
    x = 27,145,363,322.25/75,575.25
  6. Step 6: Final answer
    x = 359,183.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.