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Finding the Third Proportional to 69,070 and 143,054

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Solution

The third proportional to 69,070 and 143,054 is: 296,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,070 : 143,054 = 143,054 : x
  2. Step 2: Convert to fraction form
    69,070/143,054 = 143,054/x
  3. Step 3: Cross multiply
    69,070x = 143,054 × 143,054
  4. Step 4: Simplify right side
    69,070x = 20,464,446,916
  5. Step 5: Solve for x
    x = 20,464,446,916/69,070
  6. Step 6: Final answer
    x = 296,285.61

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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.