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Finding the Third Proportional to 43,049 and 93,247

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Solution

The third proportional to 43,049 and 93,247 is: 201,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,049 : 93,247 = 93,247 : x
  2. Step 2: Convert to fraction form
    43,049/93,247 = 93,247/x
  3. Step 3: Cross multiply
    43,049x = 93,247 × 93,247
  4. Step 4: Simplify right side
    43,049x = 8,695,003,009
  5. Step 5: Solve for x
    x = 8,695,003,009/43,049
  6. Step 6: Final answer
    x = 201,979.21

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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.