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Finding the Third Proportional to 50,121 and 116,545.50

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Solution

The third proportional to 50,121 and 116,545.50 is: 271,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,121 : 116,545.50 = 116,545.50 : x
  2. Step 2: Convert to fraction form
    50,121/116,545.50 = 116,545.50/x
  3. Step 3: Cross multiply
    50,121x = 116,545.50 × 116,545.50
  4. Step 4: Simplify right side
    50,121x = 13,582,853,570.25
  5. Step 5: Solve for x
    x = 13,582,853,570.25/50,121
  6. Step 6: Final answer
    x = 271,001.25

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.