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Finding the Third Proportional to 68,858 and 145,984

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Solution

The third proportional to 68,858 and 145,984 is: 309,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,858 : 145,984 = 145,984 : x
  2. Step 2: Convert to fraction form
    68,858/145,984 = 145,984/x
  3. Step 3: Cross multiply
    68,858x = 145,984 × 145,984
  4. Step 4: Simplify right side
    68,858x = 21,311,328,256
  5. Step 5: Solve for x
    x = 21,311,328,256/68,858
  6. Step 6: Final answer
    x = 309,496.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.