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Finding the Third Proportional to 71,608 and 110,652

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Solution

The third proportional to 71,608 and 110,652 is: 170,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,608 : 110,652 = 110,652 : x
  2. Step 2: Convert to fraction form
    71,608/110,652 = 110,652/x
  3. Step 3: Cross multiply
    71,608x = 110,652 × 110,652
  4. Step 4: Simplify right side
    71,608x = 12,243,865,104
  5. Step 5: Solve for x
    x = 12,243,865,104/71,608
  6. Step 6: Final answer
    x = 170,984.60

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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.