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Finding the Third Proportional to 50,868 and 77,485.50

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Solution

The third proportional to 50,868 and 77,485.50 is: 118,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,868 : 77,485.50 = 77,485.50 : x
  2. Step 2: Convert to fraction form
    50,868/77,485.50 = 77,485.50/x
  3. Step 3: Cross multiply
    50,868x = 77,485.50 × 77,485.50
  4. Step 4: Simplify right side
    50,868x = 6,004,002,710.25
  5. Step 5: Solve for x
    x = 6,004,002,710.25/50,868
  6. Step 6: Final answer
    x = 118,031.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.