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Finding the Third Proportional to 109,524.75 and 165,748.50

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Solution

The third proportional to 109,524.75 and 165,748.50 is: 250,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524.75 : 165,748.50 = 165,748.50 : x
  2. Step 2: Convert to fraction form
    109,524.75/165,748.50 = 165,748.50/x
  3. Step 3: Cross multiply
    109,524.75x = 165,748.50 × 165,748.50
  4. Step 4: Simplify right side
    109,524.75x = 27,472,565,252.25
  5. Step 5: Solve for x
    x = 27,472,565,252.25/109,524.75
  6. Step 6: Final answer
    x = 250,834.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.