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Finding the Third Proportional to 113,848 and 164,476

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Solution

The third proportional to 113,848 and 164,476 is: 237,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,848 : 164,476 = 164,476 : x
  2. Step 2: Convert to fraction form
    113,848/164,476 = 164,476/x
  3. Step 3: Cross multiply
    113,848x = 164,476 × 164,476
  4. Step 4: Simplify right side
    113,848x = 27,052,354,576
  5. Step 5: Solve for x
    x = 27,052,354,576/113,848
  6. Step 6: Final answer
    x = 237,618.18

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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.