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Finding the Third Proportional to 50,994 and 109,642.50

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Solution

The third proportional to 50,994 and 109,642.50 is: 235,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994 : 109,642.50 = 109,642.50 : x
  2. Step 2: Convert to fraction form
    50,994/109,642.50 = 109,642.50/x
  3. Step 3: Cross multiply
    50,994x = 109,642.50 × 109,642.50
  4. Step 4: Simplify right side
    50,994x = 12,021,477,806.25
  5. Step 5: Solve for x
    x = 12,021,477,806.25/50,994
  6. Step 6: Final answer
    x = 235,742.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.