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Finding the Third Proportional to 50,475 and 70,777

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Solution

The third proportional to 50,475 and 70,777 is: 99,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475 : 70,777 = 70,777 : x
  2. Step 2: Convert to fraction form
    50,475/70,777 = 70,777/x
  3. Step 3: Cross multiply
    50,475x = 70,777 × 70,777
  4. Step 4: Simplify right side
    50,475x = 5,009,383,729
  5. Step 5: Solve for x
    x = 5,009,383,729/50,475
  6. Step 6: Final answer
    x = 99,244.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.