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Finding the Third Proportional to 50,586 and 77,988

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Solution

The third proportional to 50,586 and 77,988 is: 120,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586 : 77,988 = 77,988 : x
  2. Step 2: Convert to fraction form
    50,586/77,988 = 77,988/x
  3. Step 3: Cross multiply
    50,586x = 77,988 × 77,988
  4. Step 4: Simplify right side
    50,586x = 6,082,128,144
  5. Step 5: Solve for x
    x = 6,082,128,144/50,586
  6. Step 6: Final answer
    x = 120,233.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.