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Finding the Third Proportional to 71,571 and 104,889

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Solution

The third proportional to 71,571 and 104,889 is: 153,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,571 : 104,889 = 104,889 : x
  2. Step 2: Convert to fraction form
    71,571/104,889 = 104,889/x
  3. Step 3: Cross multiply
    71,571x = 104,889 × 104,889
  4. Step 4: Simplify right side
    71,571x = 11,001,702,321
  5. Step 5: Solve for x
    x = 11,001,702,321/71,571
  6. Step 6: Final answer
    x = 153,717.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.