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Finding the Third Proportional to 75,646.88 and 164,601.75

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Solution

The third proportional to 75,646.88 and 164,601.75 is: 358,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,646.88 : 164,601.75 = 164,601.75 : x
  2. Step 2: Convert to fraction form
    75,646.88/164,601.75 = 164,601.75/x
  3. Step 3: Cross multiply
    75,646.88x = 164,601.75 × 164,601.75
  4. Step 4: Simplify right side
    75,646.88x = 27,093,736,103.06
  5. Step 5: Solve for x
    x = 27,093,736,103.06/75,646.88
  6. Step 6: Final answer
    x = 358,160.68

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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.