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Finding the Third Proportional to 40,247 and 87,973

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Solution

The third proportional to 40,247 and 87,973 is: 192,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,247 : 87,973 = 87,973 : x
  2. Step 2: Convert to fraction form
    40,247/87,973 = 87,973/x
  3. Step 3: Cross multiply
    40,247x = 87,973 × 87,973
  4. Step 4: Simplify right side
    40,247x = 7,739,248,729
  5. Step 5: Solve for x
    x = 7,739,248,729/40,247
  6. Step 6: Final answer
    x = 192,293.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.