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Finding the Third Proportional to 82,289.63 and 122,896.13

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Solution

The third proportional to 82,289.63 and 122,896.13 is: 183,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,289.63 : 122,896.13 = 122,896.13 : x
  2. Step 2: Convert to fraction form
    82,289.63/122,896.13 = 122,896.13/x
  3. Step 3: Cross multiply
    82,289.63x = 122,896.13 × 122,896.13
  4. Step 4: Simplify right side
    82,289.63x = 15,103,457,540.02
  5. Step 5: Solve for x
    x = 15,103,457,540.02/82,289.63
  6. Step 6: Final answer
    x = 183,540.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.