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Finding the Third Proportional to 47,272 and 103,130

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Solution

The third proportional to 47,272 and 103,130 is: 224,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,272 : 103,130 = 103,130 : x
  2. Step 2: Convert to fraction form
    47,272/103,130 = 103,130/x
  3. Step 3: Cross multiply
    47,272x = 103,130 × 103,130
  4. Step 4: Simplify right side
    47,272x = 10,635,796,900
  5. Step 5: Solve for x
    x = 10,635,796,900/47,272
  6. Step 6: Final answer
    x = 224,991.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.