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Finding the Third Proportional to 69,109 and 101,455

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Solution

The third proportional to 69,109 and 101,455 is: 148,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,109 : 101,455 = 101,455 : x
  2. Step 2: Convert to fraction form
    69,109/101,455 = 101,455/x
  3. Step 3: Cross multiply
    69,109x = 101,455 × 101,455
  4. Step 4: Simplify right side
    69,109x = 10,293,117,025
  5. Step 5: Solve for x
    x = 10,293,117,025/69,109
  6. Step 6: Final answer
    x = 148,940.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.