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Finding the Third Proportional to 40,091 and 87,013

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Solution

The third proportional to 40,091 and 87,013 is: 188,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,091 : 87,013 = 87,013 : x
  2. Step 2: Convert to fraction form
    40,091/87,013 = 87,013/x
  3. Step 3: Cross multiply
    40,091x = 87,013 × 87,013
  4. Step 4: Simplify right side
    40,091x = 7,571,262,169
  5. Step 5: Solve for x
    x = 7,571,262,169/40,091
  6. Step 6: Final answer
    x = 188,851.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.