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Finding the Third Proportional to 112,317 and 164,083

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Solution

The third proportional to 112,317 and 164,083 is: 239,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,317 : 164,083 = 164,083 : x
  2. Step 2: Convert to fraction form
    112,317/164,083 = 164,083/x
  3. Step 3: Cross multiply
    112,317x = 164,083 × 164,083
  4. Step 4: Simplify right side
    112,317x = 26,923,230,889
  5. Step 5: Solve for x
    x = 26,923,230,889/112,317
  6. Step 6: Final answer
    x = 239,707.53

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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.