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Finding the Third Proportional to 75,965.50 and 166,511

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Solution

The third proportional to 75,965.50 and 166,511 is: 364,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,965.50 : 166,511 = 166,511 : x
  2. Step 2: Convert to fraction form
    75,965.50/166,511 = 166,511/x
  3. Step 3: Cross multiply
    75,965.50x = 166,511 × 166,511
  4. Step 4: Simplify right side
    75,965.50x = 27,725,913,121
  5. Step 5: Solve for x
    x = 27,725,913,121/75,965.50
  6. Step 6: Final answer
    x = 364,980.33

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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.