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Finding the Third Proportional to 71,342 and 110,619

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Solution

The third proportional to 71,342 and 110,619 is: 171,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342 : 110,619 = 110,619 : x
  2. Step 2: Convert to fraction form
    71,342/110,619 = 110,619/x
  3. Step 3: Cross multiply
    71,342x = 110,619 × 110,619
  4. Step 4: Simplify right side
    71,342x = 12,236,563,161
  5. Step 5: Solve for x
    x = 12,236,563,161/71,342
  6. Step 6: Final answer
    x = 171,519.77

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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.