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Finding the Third Proportional to 49,908 and 73,000.50

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Solution

The third proportional to 49,908 and 73,000.50 is: 106,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908 : 73,000.50 = 73,000.50 : x
  2. Step 2: Convert to fraction form
    49,908/73,000.50 = 73,000.50/x
  3. Step 3: Cross multiply
    49,908x = 73,000.50 × 73,000.50
  4. Step 4: Simplify right side
    49,908x = 5,329,073,000.25
  5. Step 5: Solve for x
    x = 5,329,073,000.25/49,908
  6. Step 6: Final answer
    x = 106,777.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.