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Finding the Third Proportional to 100,452 and 146,832

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Solution

The third proportional to 100,452 and 146,832 is: 214,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452 : 146,832 = 146,832 : x
  2. Step 2: Convert to fraction form
    100,452/146,832 = 146,832/x
  3. Step 3: Cross multiply
    100,452x = 146,832 × 146,832
  4. Step 4: Simplify right side
    100,452x = 21,559,636,224
  5. Step 5: Solve for x
    x = 21,559,636,224/100,452
  6. Step 6: Final answer
    x = 214,626.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.