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Finding the Third Proportional to 75,880.13 and 166,264.31

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Solution

The third proportional to 75,880.13 and 166,264.31 is: 364,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880.13 : 166,264.31 = 166,264.31 : x
  2. Step 2: Convert to fraction form
    75,880.13/166,264.31 = 166,264.31/x
  3. Step 3: Cross multiply
    75,880.13x = 166,264.31 × 166,264.31
  4. Step 4: Simplify right side
    75,880.13x = 27,643,821,611.10
  5. Step 5: Solve for x
    x = 27,643,821,611.10/75,880.13
  6. Step 6: Final answer
    x = 364,309.12

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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.