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Finding the Third Proportional to 75,856 and 166,291.50

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Solution

The third proportional to 75,856 and 166,291.50 is: 364,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856 : 166,291.50 = 166,291.50 : x
  2. Step 2: Convert to fraction form
    75,856/166,291.50 = 166,291.50/x
  3. Step 3: Cross multiply
    75,856x = 166,291.50 × 166,291.50
  4. Step 4: Simplify right side
    75,856x = 27,652,862,972.25
  5. Step 5: Solve for x
    x = 27,652,862,972.25/75,856
  6. Step 6: Final answer
    x = 364,544.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.