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Finding the Third Proportional to 112,313 and 164,077

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Solution

The third proportional to 112,313 and 164,077 is: 239,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,313 : 164,077 = 164,077 : x
  2. Step 2: Convert to fraction form
    112,313/164,077 = 164,077/x
  3. Step 3: Cross multiply
    112,313x = 164,077 × 164,077
  4. Step 4: Simplify right side
    112,313x = 26,921,261,929
  5. Step 5: Solve for x
    x = 26,921,261,929/112,313
  6. Step 6: Final answer
    x = 239,698.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.