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Finding the Third Proportional to 64,069.50 and 153,019.50

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Solution

The third proportional to 64,069.50 and 153,019.50 is: 365,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,069.50 : 153,019.50 = 153,019.50 : x
  2. Step 2: Convert to fraction form
    64,069.50/153,019.50 = 153,019.50/x
  3. Step 3: Cross multiply
    64,069.50x = 153,019.50 × 153,019.50
  4. Step 4: Simplify right side
    64,069.50x = 23,414,967,380.25
  5. Step 5: Solve for x
    x = 23,414,967,380.25/64,069.50
  6. Step 6: Final answer
    x = 365,462.00

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.