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Finding the Third Proportional to 72,785.81 and 154,319.63

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Solution

The third proportional to 72,785.81 and 154,319.63 is: 327,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,785.81 : 154,319.63 = 154,319.63 : x
  2. Step 2: Convert to fraction form
    72,785.81/154,319.63 = 154,319.63/x
  3. Step 3: Cross multiply
    72,785.81x = 154,319.63 × 154,319.63
  4. Step 4: Simplify right side
    72,785.81x = 23,814,546,660.14
  5. Step 5: Solve for x
    x = 23,814,546,660.14/72,785.81
  6. Step 6: Final answer
    x = 327,186.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.