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Finding the Third Proportional to 75,772 and 166,316

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Solution

The third proportional to 75,772 and 166,316 is: 365,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,772 : 166,316 = 166,316 : x
  2. Step 2: Convert to fraction form
    75,772/166,316 = 166,316/x
  3. Step 3: Cross multiply
    75,772x = 166,316 × 166,316
  4. Step 4: Simplify right side
    75,772x = 27,661,011,856
  5. Step 5: Solve for x
    x = 27,661,011,856/75,772
  6. Step 6: Final answer
    x = 365,055.85

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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.