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Finding the Third Proportional to 46,118 and 69,593

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Solution

The third proportional to 46,118 and 69,593 is: 105,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,118 : 69,593 = 69,593 : x
  2. Step 2: Convert to fraction form
    46,118/69,593 = 69,593/x
  3. Step 3: Cross multiply
    46,118x = 69,593 × 69,593
  4. Step 4: Simplify right side
    46,118x = 4,843,185,649
  5. Step 5: Solve for x
    x = 4,843,185,649/46,118
  6. Step 6: Final answer
    x = 105,017.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.