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Finding the Third Proportional to 46,155 and 69,155

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Solution

The third proportional to 46,155 and 69,155 is: 103,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,155 : 69,155 = 69,155 : x
  2. Step 2: Convert to fraction form
    46,155/69,155 = 69,155/x
  3. Step 3: Cross multiply
    46,155x = 69,155 × 69,155
  4. Step 4: Simplify right side
    46,155x = 4,782,414,025
  5. Step 5: Solve for x
    x = 4,782,414,025/46,155
  6. Step 6: Final answer
    x = 103,616.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.