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Finding the Third Proportional to 46,173 and 68,955

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Solution

The third proportional to 46,173 and 68,955 is: 102,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,173 : 68,955 = 68,955 : x
  2. Step 2: Convert to fraction form
    46,173/68,955 = 68,955/x
  3. Step 3: Cross multiply
    46,173x = 68,955 × 68,955
  4. Step 4: Simplify right side
    46,173x = 4,754,792,025
  5. Step 5: Solve for x
    x = 4,754,792,025/46,173
  6. Step 6: Final answer
    x = 102,977.76

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Why These Related Problems?

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