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Finding the Third Proportional to 45,879 and 72,994.50

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Solution

The third proportional to 45,879 and 72,994.50 is: 116,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,879 : 72,994.50 = 72,994.50 : x
  2. Step 2: Convert to fraction form
    45,879/72,994.50 = 72,994.50/x
  3. Step 3: Cross multiply
    45,879x = 72,994.50 × 72,994.50
  4. Step 4: Simplify right side
    45,879x = 5,328,197,030.25
  5. Step 5: Solve for x
    x = 5,328,197,030.25/45,879
  6. Step 6: Final answer
    x = 116,135.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.