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Finding the Third Proportional to 100,362 and 146,774

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Solution

The third proportional to 100,362 and 146,774 is: 214,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,362 : 146,774 = 146,774 : x
  2. Step 2: Convert to fraction form
    100,362/146,774 = 146,774/x
  3. Step 3: Cross multiply
    100,362x = 146,774 × 146,774
  4. Step 4: Simplify right side
    100,362x = 21,542,607,076
  5. Step 5: Solve for x
    x = 21,542,607,076/100,362
  6. Step 6: Final answer
    x = 214,649.04

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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.