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Finding the Third Proportional to 47,046 and 97,980

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Solution

The third proportional to 47,046 and 97,980 is: 204,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046 : 97,980 = 97,980 : x
  2. Step 2: Convert to fraction form
    47,046/97,980 = 97,980/x
  3. Step 3: Cross multiply
    47,046x = 97,980 × 97,980
  4. Step 4: Simplify right side
    47,046x = 9,600,080,400
  5. Step 5: Solve for x
    x = 9,600,080,400/47,046
  6. Step 6: Final answer
    x = 204,057.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.