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Finding the Third Proportional to 69,066 and 143,046

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Solution

The third proportional to 69,066 and 143,046 is: 296,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,066 : 143,046 = 143,046 : x
  2. Step 2: Convert to fraction form
    69,066/143,046 = 143,046/x
  3. Step 3: Cross multiply
    69,066x = 143,046 × 143,046
  4. Step 4: Simplify right side
    69,066x = 20,462,158,116
  5. Step 5: Solve for x
    x = 20,462,158,116/69,066
  6. Step 6: Final answer
    x = 296,269.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.