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Finding the Third Proportional to 40,106 and 58,093

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Solution

The third proportional to 40,106 and 58,093 is: 84,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106 : 58,093 = 58,093 : x
  2. Step 2: Convert to fraction form
    40,106/58,093 = 58,093/x
  3. Step 3: Cross multiply
    40,106x = 58,093 × 58,093
  4. Step 4: Simplify right side
    40,106x = 3,374,796,649
  5. Step 5: Solve for x
    x = 3,374,796,649/40,106
  6. Step 6: Final answer
    x = 84,146.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.