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Finding the Third Proportional to 67,261.50 and 101,051.50

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Solution

The third proportional to 67,261.50 and 101,051.50 is: 151,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,261.50 : 101,051.50 = 101,051.50 : x
  2. Step 2: Convert to fraction form
    67,261.50/101,051.50 = 101,051.50/x
  3. Step 3: Cross multiply
    67,261.50x = 101,051.50 × 101,051.50
  4. Step 4: Simplify right side
    67,261.50x = 10,211,405,652.25
  5. Step 5: Solve for x
    x = 10,211,405,652.25/67,261.50
  6. Step 6: Final answer
    x = 151,816.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.