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Finding the Third Proportional to 65,968 and 155,644

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Solution

The third proportional to 65,968 and 155,644 is: 367,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,968 : 155,644 = 155,644 : x
  2. Step 2: Convert to fraction form
    65,968/155,644 = 155,644/x
  3. Step 3: Cross multiply
    65,968x = 155,644 × 155,644
  4. Step 4: Simplify right side
    65,968x = 24,225,054,736
  5. Step 5: Solve for x
    x = 24,225,054,736/65,968
  6. Step 6: Final answer
    x = 367,224.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.