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Finding the Third Proportional to 70,735.78 and 110,409.33

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Solution

The third proportional to 70,735.78 and 110,409.33 is: 172,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.78 : 110,409.33 = 110,409.33 : x
  2. Step 2: Convert to fraction form
    70,735.78/110,409.33 = 110,409.33/x
  3. Step 3: Cross multiply
    70,735.78x = 110,409.33 × 110,409.33
  4. Step 4: Simplify right side
    70,735.78x = 12,190,219,737.01
  5. Step 5: Solve for x
    x = 12,190,219,737.01/70,735.78
  6. Step 6: Final answer
    x = 172,334.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.