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Finding the Third Proportional to 47,005 and 103,313

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Solution

The third proportional to 47,005 and 103,313 is: 227,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005 : 103,313 = 103,313 : x
  2. Step 2: Convert to fraction form
    47,005/103,313 = 103,313/x
  3. Step 3: Cross multiply
    47,005x = 103,313 × 103,313
  4. Step 4: Simplify right side
    47,005x = 10,673,575,969
  5. Step 5: Solve for x
    x = 10,673,575,969/47,005
  6. Step 6: Final answer
    x = 227,073.20

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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.