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Finding the Third Proportional to 67,994 and 148,085

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Solution

The third proportional to 67,994 and 148,085 is: 322,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,994 : 148,085 = 148,085 : x
  2. Step 2: Convert to fraction form
    67,994/148,085 = 148,085/x
  3. Step 3: Cross multiply
    67,994x = 148,085 × 148,085
  4. Step 4: Simplify right side
    67,994x = 21,929,167,225
  5. Step 5: Solve for x
    x = 21,929,167,225/67,994
  6. Step 6: Final answer
    x = 322,516.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.