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Finding the Third Proportional to 69,322 and 104,607

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Solution

The third proportional to 69,322 and 104,607 is: 157,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322 : 104,607 = 104,607 : x
  2. Step 2: Convert to fraction form
    69,322/104,607 = 104,607/x
  3. Step 3: Cross multiply
    69,322x = 104,607 × 104,607
  4. Step 4: Simplify right side
    69,322x = 10,942,624,449
  5. Step 5: Solve for x
    x = 10,942,624,449/69,322
  6. Step 6: Final answer
    x = 157,852.12

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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.