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Finding the Third Proportional to 50,064.50 and 76,980.75

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Solution

The third proportional to 50,064.50 and 76,980.75 is: 118,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,064.50 : 76,980.75 = 76,980.75 : x
  2. Step 2: Convert to fraction form
    50,064.50/76,980.75 = 76,980.75/x
  3. Step 3: Cross multiply
    50,064.50x = 76,980.75 × 76,980.75
  4. Step 4: Simplify right side
    50,064.50x = 5,926,035,870.56
  5. Step 5: Solve for x
    x = 5,926,035,870.56/50,064.50
  6. Step 6: Final answer
    x = 118,368.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.