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Finding the Third Proportional to 43,095 and 93,108

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Solution

The third proportional to 43,095 and 93,108 is: 201,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,095 : 93,108 = 93,108 : x
  2. Step 2: Convert to fraction form
    43,095/93,108 = 93,108/x
  3. Step 3: Cross multiply
    43,095x = 93,108 × 93,108
  4. Step 4: Simplify right side
    43,095x = 8,669,099,664
  5. Step 5: Solve for x
    x = 8,669,099,664/43,095
  6. Step 6: Final answer
    x = 201,162.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.