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Finding the Third Proportional to 113,826 and 167,046

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Solution

The third proportional to 113,826 and 167,046 is: 245,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,826 : 167,046 = 167,046 : x
  2. Step 2: Convert to fraction form
    113,826/167,046 = 167,046/x
  3. Step 3: Cross multiply
    113,826x = 167,046 × 167,046
  4. Step 4: Simplify right side
    113,826x = 27,904,366,116
  5. Step 5: Solve for x
    x = 27,904,366,116/113,826
  6. Step 6: Final answer
    x = 245,149.32

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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.