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Finding the Third Proportional to 47,575 and 104,567

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Solution

The third proportional to 47,575 and 104,567 is: 229,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,575 : 104,567 = 104,567 : x
  2. Step 2: Convert to fraction form
    47,575/104,567 = 104,567/x
  3. Step 3: Cross multiply
    47,575x = 104,567 × 104,567
  4. Step 4: Simplify right side
    47,575x = 10,934,257,489
  5. Step 5: Solve for x
    x = 10,934,257,489/47,575
  6. Step 6: Final answer
    x = 229,832.00

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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.