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Finding the Third Proportional to 71,692 and 110,014

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Solution

The third proportional to 71,692 and 110,014 is: 168,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692 : 110,014 = 110,014 : x
  2. Step 2: Convert to fraction form
    71,692/110,014 = 110,014/x
  3. Step 3: Cross multiply
    71,692x = 110,014 × 110,014
  4. Step 4: Simplify right side
    71,692x = 12,103,080,196
  5. Step 5: Solve for x
    x = 12,103,080,196/71,692
  6. Step 6: Final answer
    x = 168,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.