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Finding the Third Proportional to 69,094 and 143,382

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Solution

The third proportional to 69,094 and 143,382 is: 297,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094 : 143,382 = 143,382 : x
  2. Step 2: Convert to fraction form
    69,094/143,382 = 143,382/x
  3. Step 3: Cross multiply
    69,094x = 143,382 × 143,382
  4. Step 4: Simplify right side
    69,094x = 20,558,397,924
  5. Step 5: Solve for x
    x = 20,558,397,924/69,094
  6. Step 6: Final answer
    x = 297,542.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.