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Finding the Third Proportional to 113,846.13 and 167,078.32

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Solution

The third proportional to 113,846.13 and 167,078.32 is: 245,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,846.13 : 167,078.32 = 167,078.32 : x
  2. Step 2: Convert to fraction form
    113,846.13/167,078.32 = 167,078.32/x
  3. Step 3: Cross multiply
    113,846.13x = 167,078.32 × 167,078.32
  4. Step 4: Simplify right side
    113,846.13x = 27,915,165,118.45
  5. Step 5: Solve for x
    x = 27,915,165,118.45/113,846.13
  6. Step 6: Final answer
    x = 245,200.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.