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Finding the Third Proportional to 40,994 and 90,013

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Solution

The third proportional to 40,994 and 90,013 is: 197,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,994 : 90,013 = 90,013 : x
  2. Step 2: Convert to fraction form
    40,994/90,013 = 90,013/x
  3. Step 3: Cross multiply
    40,994x = 90,013 × 90,013
  4. Step 4: Simplify right side
    40,994x = 8,102,340,169
  5. Step 5: Solve for x
    x = 8,102,340,169/40,994
  6. Step 6: Final answer
    x = 197,646.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.