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Finding the Third Proportional to 109,427.75 and 164,140.75

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Solution

The third proportional to 109,427.75 and 164,140.75 is: 246,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,427.75 : 164,140.75 = 164,140.75 : x
  2. Step 2: Convert to fraction form
    109,427.75/164,140.75 = 164,140.75/x
  3. Step 3: Cross multiply
    109,427.75x = 164,140.75 × 164,140.75
  4. Step 4: Simplify right side
    109,427.75x = 26,942,185,810.56
  5. Step 5: Solve for x
    x = 26,942,185,810.56/109,427.75
  6. Step 6: Final answer
    x = 246,209.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.