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Finding the Third Proportional to 116,926 and 171,011

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Solution

The third proportional to 116,926 and 171,011 is: 250,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,926 : 171,011 = 171,011 : x
  2. Step 2: Convert to fraction form
    116,926/171,011 = 171,011/x
  3. Step 3: Cross multiply
    116,926x = 171,011 × 171,011
  4. Step 4: Simplify right side
    116,926x = 29,244,762,121
  5. Step 5: Solve for x
    x = 29,244,762,121/116,926
  6. Step 6: Final answer
    x = 250,113.42

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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.