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Finding the Third Proportional to 69,329 and 104,484

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Solution

The third proportional to 69,329 and 104,484 is: 157,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,329 : 104,484 = 104,484 : x
  2. Step 2: Convert to fraction form
    69,329/104,484 = 104,484/x
  3. Step 3: Cross multiply
    69,329x = 104,484 × 104,484
  4. Step 4: Simplify right side
    69,329x = 10,916,906,256
  5. Step 5: Solve for x
    x = 10,916,906,256/69,329
  6. Step 6: Final answer
    x = 157,465.22

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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.