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Finding the Third Proportional to 50,013 and 118,058.50

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Solution

The third proportional to 50,013 and 118,058.50 is: 278,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,013 : 118,058.50 = 118,058.50 : x
  2. Step 2: Convert to fraction form
    50,013/118,058.50 = 118,058.50/x
  3. Step 3: Cross multiply
    50,013x = 118,058.50 × 118,058.50
  4. Step 4: Simplify right side
    50,013x = 13,937,809,422.25
  5. Step 5: Solve for x
    x = 13,937,809,422.25/50,013
  6. Step 6: Final answer
    x = 278,683.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.