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Finding the Third Proportional to 46,703 and 68,056

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Solution

The third proportional to 46,703 and 68,056 is: 99,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,703 : 68,056 = 68,056 : x
  2. Step 2: Convert to fraction form
    46,703/68,056 = 68,056/x
  3. Step 3: Cross multiply
    46,703x = 68,056 × 68,056
  4. Step 4: Simplify right side
    46,703x = 4,631,619,136
  5. Step 5: Solve for x
    x = 4,631,619,136/46,703
  6. Step 6: Final answer
    x = 99,171.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.