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Finding the Third Proportional to 109,477.88 and 166,272.94

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Solution

The third proportional to 109,477.88 and 166,272.94 is: 252,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,477.88 : 166,272.94 = 166,272.94 : x
  2. Step 2: Convert to fraction form
    109,477.88/166,272.94 = 166,272.94/x
  3. Step 3: Cross multiply
    109,477.88x = 166,272.94 × 166,272.94
  4. Step 4: Simplify right side
    109,477.88x = 27,646,689,744.88
  5. Step 5: Solve for x
    x = 27,646,689,744.88/109,477.88
  6. Step 6: Final answer
    x = 252,532.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.