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Finding the Third Proportional to 66,517 and 90,475.50

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Solution

The third proportional to 66,517 and 90,475.50 is: 123,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,517 : 90,475.50 = 90,475.50 : x
  2. Step 2: Convert to fraction form
    66,517/90,475.50 = 90,475.50/x
  3. Step 3: Cross multiply
    66,517x = 90,475.50 × 90,475.50
  4. Step 4: Simplify right side
    66,517x = 8,185,816,100.25
  5. Step 5: Solve for x
    x = 8,185,816,100.25/66,517
  6. Step 6: Final answer
    x = 123,063.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.