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Finding the Third Proportional to 69,092 and 145,144

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Solution

The third proportional to 69,092 and 145,144 is: 304,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,092 : 145,144 = 145,144 : x
  2. Step 2: Convert to fraction form
    69,092/145,144 = 145,144/x
  3. Step 3: Cross multiply
    69,092x = 145,144 × 145,144
  4. Step 4: Simplify right side
    69,092x = 21,066,780,736
  5. Step 5: Solve for x
    x = 21,066,780,736/69,092
  6. Step 6: Final answer
    x = 304,909.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.