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Finding the Third Proportional to 69,080 and 123,946

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Solution

The third proportional to 69,080 and 123,946 is: 222,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,080 : 123,946 = 123,946 : x
  2. Step 2: Convert to fraction form
    69,080/123,946 = 123,946/x
  3. Step 3: Cross multiply
    69,080x = 123,946 × 123,946
  4. Step 4: Simplify right side
    69,080x = 15,362,610,916
  5. Step 5: Solve for x
    x = 15,362,610,916/69,080
  6. Step 6: Final answer
    x = 222,388.69

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.