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Finding the Third Proportional to 68,097 and 145,458

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Solution

The third proportional to 68,097 and 145,458 is: 310,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097 : 145,458 = 145,458 : x
  2. Step 2: Convert to fraction form
    68,097/145,458 = 145,458/x
  3. Step 3: Cross multiply
    68,097x = 145,458 × 145,458
  4. Step 4: Simplify right side
    68,097x = 21,158,029,764
  5. Step 5: Solve for x
    x = 21,158,029,764/68,097
  6. Step 6: Final answer
    x = 310,704.29

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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.