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Finding the Third Proportional to 70,556 and 108,083

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Solution

The third proportional to 70,556 and 108,083 is: 165,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,556 : 108,083 = 108,083 : x
  2. Step 2: Convert to fraction form
    70,556/108,083 = 108,083/x
  3. Step 3: Cross multiply
    70,556x = 108,083 × 108,083
  4. Step 4: Simplify right side
    70,556x = 11,681,934,889
  5. Step 5: Solve for x
    x = 11,681,934,889/70,556
  6. Step 6: Final answer
    x = 165,569.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.