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Finding the Third Proportional to 75,868 and 166,022.50

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Solution

The third proportional to 75,868 and 166,022.50 is: 363,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,868 : 166,022.50 = 166,022.50 : x
  2. Step 2: Convert to fraction form
    75,868/166,022.50 = 166,022.50/x
  3. Step 3: Cross multiply
    75,868x = 166,022.50 × 166,022.50
  4. Step 4: Simplify right side
    75,868x = 27,563,470,506.25
  5. Step 5: Solve for x
    x = 27,563,470,506.25/75,868
  6. Step 6: Final answer
    x = 363,308.25

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Why These Related Problems?

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