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Finding the Third Proportional to 61,269.50 and 134,621

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Solution

The third proportional to 61,269.50 and 134,621 is: 295,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,269.50 : 134,621 = 134,621 : x
  2. Step 2: Convert to fraction form
    61,269.50/134,621 = 134,621/x
  3. Step 3: Cross multiply
    61,269.50x = 134,621 × 134,621
  4. Step 4: Simplify right side
    61,269.50x = 18,122,813,641
  5. Step 5: Solve for x
    x = 18,122,813,641/61,269.50
  6. Step 6: Final answer
    x = 295,788.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.