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Finding the Third Proportional to 68,116 and 145,544

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Solution

The third proportional to 68,116 and 145,544 is: 310,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,116 : 145,544 = 145,544 : x
  2. Step 2: Convert to fraction form
    68,116/145,544 = 145,544/x
  3. Step 3: Cross multiply
    68,116x = 145,544 × 145,544
  4. Step 4: Simplify right side
    68,116x = 21,183,055,936
  5. Step 5: Solve for x
    x = 21,183,055,936/68,116
  6. Step 6: Final answer
    x = 310,985.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.