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Finding the Third Proportional to 55,453.50 and 85,322.25

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Solution

The third proportional to 55,453.50 and 85,322.25 is: 131,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,453.50 : 85,322.25 = 85,322.25 : x
  2. Step 2: Convert to fraction form
    55,453.50/85,322.25 = 85,322.25/x
  3. Step 3: Cross multiply
    55,453.50x = 85,322.25 × 85,322.25
  4. Step 4: Simplify right side
    55,453.50x = 7,279,886,345.06
  5. Step 5: Solve for x
    x = 7,279,886,345.06/55,453.50
  6. Step 6: Final answer
    x = 131,279.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.