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Finding the Third Proportional to 73,755 and 110,706

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Solution

The third proportional to 73,755 and 110,706 is: 166,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,755 : 110,706 = 110,706 : x
  2. Step 2: Convert to fraction form
    73,755/110,706 = 110,706/x
  3. Step 3: Cross multiply
    73,755x = 110,706 × 110,706
  4. Step 4: Simplify right side
    73,755x = 12,255,818,436
  5. Step 5: Solve for x
    x = 12,255,818,436/73,755
  6. Step 6: Final answer
    x = 166,169.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.