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Finding the Third Proportional to 75,498.75 and 164,281.88

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Solution

The third proportional to 75,498.75 and 164,281.88 is: 357,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,498.75 : 164,281.88 = 164,281.88 : x
  2. Step 2: Convert to fraction form
    75,498.75/164,281.88 = 164,281.88/x
  3. Step 3: Cross multiply
    75,498.75x = 164,281.88 × 164,281.88
  4. Step 4: Simplify right side
    75,498.75x = 26,988,534,453.52
  5. Step 5: Solve for x
    x = 26,988,534,453.52/75,498.75
  6. Step 6: Final answer
    x = 357,469.95

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