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Finding the Third Proportional to 79,494 and 111,417

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Solution

The third proportional to 79,494 and 111,417 is: 156,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,494 : 111,417 = 111,417 : x
  2. Step 2: Convert to fraction form
    79,494/111,417 = 111,417/x
  3. Step 3: Cross multiply
    79,494x = 111,417 × 111,417
  4. Step 4: Simplify right side
    79,494x = 12,413,747,889
  5. Step 5: Solve for x
    x = 12,413,747,889/79,494
  6. Step 6: Final answer
    x = 156,159.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.