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Finding the Third Proportional to 50,230 and 75,854.50

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Solution

The third proportional to 50,230 and 75,854.50 is: 114,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,230 : 75,854.50 = 75,854.50 : x
  2. Step 2: Convert to fraction form
    50,230/75,854.50 = 75,854.50/x
  3. Step 3: Cross multiply
    50,230x = 75,854.50 × 75,854.50
  4. Step 4: Simplify right side
    50,230x = 5,753,905,170.25
  5. Step 5: Solve for x
    x = 5,753,905,170.25/50,230
  6. Step 6: Final answer
    x = 114,551.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.