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Finding the Third Proportional to 109,544.25 and 165,500.25

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Solution

The third proportional to 109,544.25 and 165,500.25 is: 250,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,544.25 : 165,500.25 = 165,500.25 : x
  2. Step 2: Convert to fraction form
    109,544.25/165,500.25 = 165,500.25/x
  3. Step 3: Cross multiply
    109,544.25x = 165,500.25 × 165,500.25
  4. Step 4: Simplify right side
    109,544.25x = 27,390,332,750.06
  5. Step 5: Solve for x
    x = 27,390,332,750.06/109,544.25
  6. Step 6: Final answer
    x = 250,038.98

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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.