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Finding the Third Proportional to 69,409 and 94,057

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Solution

The third proportional to 69,409 and 94,057 is: 127,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,409 : 94,057 = 94,057 : x
  2. Step 2: Convert to fraction form
    69,409/94,057 = 94,057/x
  3. Step 3: Cross multiply
    69,409x = 94,057 × 94,057
  4. Step 4: Simplify right side
    69,409x = 8,846,719,249
  5. Step 5: Solve for x
    x = 8,846,719,249/69,409
  6. Step 6: Final answer
    x = 127,457.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.