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Finding the Third Proportional to 68,994 and 100,179

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Solution

The third proportional to 68,994 and 100,179 is: 145,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,994 : 100,179 = 100,179 : x
  2. Step 2: Convert to fraction form
    68,994/100,179 = 100,179/x
  3. Step 3: Cross multiply
    68,994x = 100,179 × 100,179
  4. Step 4: Simplify right side
    68,994x = 10,035,832,041
  5. Step 5: Solve for x
    x = 10,035,832,041/68,994
  6. Step 6: Final answer
    x = 145,459.49

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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.