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Finding the Third Proportional to 69,224 and 107,396

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Solution

The third proportional to 69,224 and 107,396 is: 166,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,224 : 107,396 = 107,396 : x
  2. Step 2: Convert to fraction form
    69,224/107,396 = 107,396/x
  3. Step 3: Cross multiply
    69,224x = 107,396 × 107,396
  4. Step 4: Simplify right side
    69,224x = 11,533,900,816
  5. Step 5: Solve for x
    x = 11,533,900,816/69,224
  6. Step 6: Final answer
    x = 166,617.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.