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Finding the Third Proportional to 77,783 and 160,750

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Solution

The third proportional to 77,783 and 160,750 is: 332,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783 : 160,750 = 160,750 : x
  2. Step 2: Convert to fraction form
    77,783/160,750 = 160,750/x
  3. Step 3: Cross multiply
    77,783x = 160,750 × 160,750
  4. Step 4: Simplify right side
    77,783x = 25,840,562,500
  5. Step 5: Solve for x
    x = 25,840,562,500/77,783
  6. Step 6: Final answer
    x = 332,213.50

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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.