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Finding the Third Proportional to 76,362 and 157,962

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Solution

The third proportional to 76,362 and 157,962 is: 326,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362 : 157,962 = 157,962 : x
  2. Step 2: Convert to fraction form
    76,362/157,962 = 157,962/x
  3. Step 3: Cross multiply
    76,362x = 157,962 × 157,962
  4. Step 4: Simplify right side
    76,362x = 24,951,993,444
  5. Step 5: Solve for x
    x = 24,951,993,444/76,362
  6. Step 6: Final answer
    x = 326,759.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.