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Finding the Third Proportional to 66,504.38 and 97,812.56

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Solution

The third proportional to 66,504.38 and 97,812.56 is: 143,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,504.38 : 97,812.56 = 97,812.56 : x
  2. Step 2: Convert to fraction form
    66,504.38/97,812.56 = 97,812.56/x
  3. Step 3: Cross multiply
    66,504.38x = 97,812.56 × 97,812.56
  4. Step 4: Simplify right side
    66,504.38x = 9,567,297,382.82
  5. Step 5: Solve for x
    x = 9,567,297,382.82/66,504.38
  6. Step 6: Final answer
    x = 143,859.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.