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Finding the Third Proportional to 69,969 and 153,061

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Solution

The third proportional to 69,969 and 153,061 is: 334,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,969 : 153,061 = 153,061 : x
  2. Step 2: Convert to fraction form
    69,969/153,061 = 153,061/x
  3. Step 3: Cross multiply
    69,969x = 153,061 × 153,061
  4. Step 4: Simplify right side
    69,969x = 23,427,669,721
  5. Step 5: Solve for x
    x = 23,427,669,721/69,969
  6. Step 6: Final answer
    x = 334,829.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.