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Finding the Third Proportional to 75,946.50 and 166,195.69

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Solution

The third proportional to 75,946.50 and 166,195.69 is: 363,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,946.50 : 166,195.69 = 166,195.69 : x
  2. Step 2: Convert to fraction form
    75,946.50/166,195.69 = 166,195.69/x
  3. Step 3: Cross multiply
    75,946.50x = 166,195.69 × 166,195.69
  4. Step 4: Simplify right side
    75,946.50x = 27,621,006,543.60
  5. Step 5: Solve for x
    x = 27,621,006,543.60/75,946.50
  6. Step 6: Final answer
    x = 363,690.32

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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.