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Finding the Third Proportional to 62,847.25 and 87,911

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Solution

The third proportional to 62,847.25 and 87,911 is: 122,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,847.25 : 87,911 = 87,911 : x
  2. Step 2: Convert to fraction form
    62,847.25/87,911 = 87,911/x
  3. Step 3: Cross multiply
    62,847.25x = 87,911 × 87,911
  4. Step 4: Simplify right side
    62,847.25x = 7,728,343,921
  5. Step 5: Solve for x
    x = 7,728,343,921/62,847.25
  6. Step 6: Final answer
    x = 122,970.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.