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Finding the Third Proportional to 69,084 and 143,080

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Solution

The third proportional to 69,084 and 143,080 is: 296,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,084 : 143,080 = 143,080 : x
  2. Step 2: Convert to fraction form
    69,084/143,080 = 143,080/x
  3. Step 3: Cross multiply
    69,084x = 143,080 × 143,080
  4. Step 4: Simplify right side
    69,084x = 20,471,886,400
  5. Step 5: Solve for x
    x = 20,471,886,400/69,084
  6. Step 6: Final answer
    x = 296,333.25

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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.