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Finding the Third Proportional to 47,094 and 99,021

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Solution

The third proportional to 47,094 and 99,021 is: 208,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094 : 99,021 = 99,021 : x
  2. Step 2: Convert to fraction form
    47,094/99,021 = 99,021/x
  3. Step 3: Cross multiply
    47,094x = 99,021 × 99,021
  4. Step 4: Simplify right side
    47,094x = 9,805,158,441
  5. Step 5: Solve for x
    x = 9,805,158,441/47,094
  6. Step 6: Final answer
    x = 208,203.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.