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Finding the Third Proportional to 109,167.75 and 165,720.94

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Solution

The third proportional to 109,167.75 and 165,720.94 is: 251,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,167.75 : 165,720.94 = 165,720.94 : x
  2. Step 2: Convert to fraction form
    109,167.75/165,720.94 = 165,720.94/x
  3. Step 3: Cross multiply
    109,167.75x = 165,720.94 × 165,720.94
  4. Step 4: Simplify right side
    109,167.75x = 27,463,429,125.88
  5. Step 5: Solve for x
    x = 27,463,429,125.88/109,167.75
  6. Step 6: Final answer
    x = 251,570.90

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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.