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Finding the Third Proportional to 36,184.22 and 78,557.34

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Solution

The third proportional to 36,184.22 and 78,557.34 is: 170,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,184.22 : 78,557.34 = 78,557.34 : x
  2. Step 2: Convert to fraction form
    36,184.22/78,557.34 = 78,557.34/x
  3. Step 3: Cross multiply
    36,184.22x = 78,557.34 × 78,557.34
  4. Step 4: Simplify right side
    36,184.22x = 6,171,256,257.06
  5. Step 5: Solve for x
    x = 6,171,256,257.06/36,184.22
  6. Step 6: Final answer
    x = 170,551.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.