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Finding the Third Proportional to 69,106 and 143,133

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Solution

The third proportional to 69,106 and 143,133 is: 296,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106 : 143,133 = 143,133 : x
  2. Step 2: Convert to fraction form
    69,106/143,133 = 143,133/x
  3. Step 3: Cross multiply
    69,106x = 143,133 × 143,133
  4. Step 4: Simplify right side
    69,106x = 20,487,055,689
  5. Step 5: Solve for x
    x = 20,487,055,689/69,106
  6. Step 6: Final answer
    x = 296,458.42

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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.