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Finding the Third Proportional to 69,066 and 105,597

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Solution

The third proportional to 69,066 and 105,597 is: 161,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,066 : 105,597 = 105,597 : x
  2. Step 2: Convert to fraction form
    69,066/105,597 = 105,597/x
  3. Step 3: Cross multiply
    69,066x = 105,597 × 105,597
  4. Step 4: Simplify right side
    69,066x = 11,150,726,409
  5. Step 5: Solve for x
    x = 11,150,726,409/69,066
  6. Step 6: Final answer
    x = 161,450.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.