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Finding the Third Proportional to 70,768.69 and 104,145.75

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Solution

The third proportional to 70,768.69 and 104,145.75 is: 153,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.69 : 104,145.75 = 104,145.75 : x
  2. Step 2: Convert to fraction form
    70,768.69/104,145.75 = 104,145.75/x
  3. Step 3: Cross multiply
    70,768.69x = 104,145.75 × 104,145.75
  4. Step 4: Simplify right side
    70,768.69x = 10,846,337,243.06
  5. Step 5: Solve for x
    x = 10,846,337,243.06/70,768.69
  6. Step 6: Final answer
    x = 153,264.64

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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.