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Finding the Third Proportional to 66,952.27 and 139,453.03

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Solution

The third proportional to 66,952.27 and 139,453.03 is: 290,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,952.27 : 139,453.03 = 139,453.03 : x
  2. Step 2: Convert to fraction form
    66,952.27/139,453.03 = 139,453.03/x
  3. Step 3: Cross multiply
    66,952.27x = 139,453.03 × 139,453.03
  4. Step 4: Simplify right side
    66,952.27x = 19,447,147,924.81
  5. Step 5: Solve for x
    x = 19,447,147,924.81/66,952.27
  6. Step 6: Final answer
    x = 290,462.88

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.