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Finding the Third Proportional to 113,846 and 164,475

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Solution

The third proportional to 113,846 and 164,475 is: 237,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,846 : 164,475 = 164,475 : x
  2. Step 2: Convert to fraction form
    113,846/164,475 = 164,475/x
  3. Step 3: Cross multiply
    113,846x = 164,475 × 164,475
  4. Step 4: Simplify right side
    113,846x = 27,052,025,625
  5. Step 5: Solve for x
    x = 27,052,025,625/113,846
  6. Step 6: Final answer
    x = 237,619.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.