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Finding the Third Proportional to 71,360 and 111,126

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Solution

The third proportional to 71,360 and 111,126 is: 173,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,360 : 111,126 = 111,126 : x
  2. Step 2: Convert to fraction form
    71,360/111,126 = 111,126/x
  3. Step 3: Cross multiply
    71,360x = 111,126 × 111,126
  4. Step 4: Simplify right side
    71,360x = 12,348,987,876
  5. Step 5: Solve for x
    x = 12,348,987,876/71,360
  6. Step 6: Final answer
    x = 173,051.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.