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Finding the Third Proportional to 65,621.50 and 143,271.50

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Solution

The third proportional to 65,621.50 and 143,271.50 is: 312,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,621.50 : 143,271.50 = 143,271.50 : x
  2. Step 2: Convert to fraction form
    65,621.50/143,271.50 = 143,271.50/x
  3. Step 3: Cross multiply
    65,621.50x = 143,271.50 × 143,271.50
  4. Step 4: Simplify right side
    65,621.50x = 20,526,722,712.25
  5. Step 5: Solve for x
    x = 20,526,722,712.25/65,621.50
  6. Step 6: Final answer
    x = 312,804.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.