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Finding the Third Proportional to 66,280.50 and 99,695.25

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Solution

The third proportional to 66,280.50 and 99,695.25 is: 149,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280.50 : 99,695.25 = 99,695.25 : x
  2. Step 2: Convert to fraction form
    66,280.50/99,695.25 = 99,695.25/x
  3. Step 3: Cross multiply
    66,280.50x = 99,695.25 × 99,695.25
  4. Step 4: Simplify right side
    66,280.50x = 9,939,142,872.56
  5. Step 5: Solve for x
    x = 9,939,142,872.56/66,280.50
  6. Step 6: Final answer
    x = 149,955.76

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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.