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Finding the Third Proportional to 92,040 and 140,736

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Solution

The third proportional to 92,040 and 140,736 is: 215,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,040 : 140,736 = 140,736 : x
  2. Step 2: Convert to fraction form
    92,040/140,736 = 140,736/x
  3. Step 3: Cross multiply
    92,040x = 140,736 × 140,736
  4. Step 4: Simplify right side
    92,040x = 19,806,621,696
  5. Step 5: Solve for x
    x = 19,806,621,696/92,040
  6. Step 6: Final answer
    x = 215,195.80

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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.