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Finding the Third Proportional to 46,194 and 69,780

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Solution

The third proportional to 46,194 and 69,780 is: 105,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,194 : 69,780 = 69,780 : x
  2. Step 2: Convert to fraction form
    46,194/69,780 = 69,780/x
  3. Step 3: Cross multiply
    46,194x = 69,780 × 69,780
  4. Step 4: Simplify right side
    46,194x = 4,869,248,400
  5. Step 5: Solve for x
    x = 4,869,248,400/46,194
  6. Step 6: Final answer
    x = 105,408.68

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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.