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Finding the Third Proportional to 79,106 and 118,995

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Solution

The third proportional to 79,106 and 118,995 is: 178,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,106 : 118,995 = 118,995 : x
  2. Step 2: Convert to fraction form
    79,106/118,995 = 118,995/x
  3. Step 3: Cross multiply
    79,106x = 118,995 × 118,995
  4. Step 4: Simplify right side
    79,106x = 14,159,810,025
  5. Step 5: Solve for x
    x = 14,159,810,025/79,106
  6. Step 6: Final answer
    x = 178,997.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.