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Finding the Third Proportional to 71,646 and 110,748

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Solution

The third proportional to 71,646 and 110,748 is: 171,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646 : 110,748 = 110,748 : x
  2. Step 2: Convert to fraction form
    71,646/110,748 = 110,748/x
  3. Step 3: Cross multiply
    71,646x = 110,748 × 110,748
  4. Step 4: Simplify right side
    71,646x = 12,265,119,504
  5. Step 5: Solve for x
    x = 12,265,119,504/71,646
  6. Step 6: Final answer
    x = 171,190.57

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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.