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Finding the Third Proportional to 109,851.75 and 164,778.19

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Solution

The third proportional to 109,851.75 and 164,778.19 is: 247,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,851.75 : 164,778.19 = 164,778.19 : x
  2. Step 2: Convert to fraction form
    109,851.75/164,778.19 = 164,778.19/x
  3. Step 3: Cross multiply
    109,851.75x = 164,778.19 × 164,778.19
  4. Step 4: Simplify right side
    109,851.75x = 27,151,851,075.79
  5. Step 5: Solve for x
    x = 27,151,851,075.79/109,851.75
  6. Step 6: Final answer
    x = 247,168.13

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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.