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Finding the Third Proportional to 69,028 and 104,084

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Solution

The third proportional to 69,028 and 104,084 is: 156,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,028 : 104,084 = 104,084 : x
  2. Step 2: Convert to fraction form
    69,028/104,084 = 104,084/x
  3. Step 3: Cross multiply
    69,028x = 104,084 × 104,084
  4. Step 4: Simplify right side
    69,028x = 10,833,479,056
  5. Step 5: Solve for x
    x = 10,833,479,056/69,028
  6. Step 6: Final answer
    x = 156,943.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.