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Finding the Third Proportional to 113,844 and 164,472

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Solution

The third proportional to 113,844 and 164,472 is: 237,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,844 : 164,472 = 164,472 : x
  2. Step 2: Convert to fraction form
    113,844/164,472 = 164,472/x
  3. Step 3: Cross multiply
    113,844x = 164,472 × 164,472
  4. Step 4: Simplify right side
    113,844x = 27,051,038,784
  5. Step 5: Solve for x
    x = 27,051,038,784/113,844
  6. Step 6: Final answer
    x = 237,614.97

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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.