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Finding the Third Proportional to 47,907 and 98,889

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Solution

The third proportional to 47,907 and 98,889 is: 204,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,907 : 98,889 = 98,889 : x
  2. Step 2: Convert to fraction form
    47,907/98,889 = 98,889/x
  3. Step 3: Cross multiply
    47,907x = 98,889 × 98,889
  4. Step 4: Simplify right side
    47,907x = 9,779,034,321
  5. Step 5: Solve for x
    x = 9,779,034,321/47,907
  6. Step 6: Final answer
    x = 204,125.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.