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Finding the Third Proportional to 71,326 and 110,444

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Solution

The third proportional to 71,326 and 110,444 is: 171,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326 : 110,444 = 110,444 : x
  2. Step 2: Convert to fraction form
    71,326/110,444 = 110,444/x
  3. Step 3: Cross multiply
    71,326x = 110,444 × 110,444
  4. Step 4: Simplify right side
    71,326x = 12,197,877,136
  5. Step 5: Solve for x
    x = 12,197,877,136/71,326
  6. Step 6: Final answer
    x = 171,015.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.