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Finding the Third Proportional to 100,244 and 145,628

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Solution

The third proportional to 100,244 and 145,628 is: 211,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,244 : 145,628 = 145,628 : x
  2. Step 2: Convert to fraction form
    100,244/145,628 = 145,628/x
  3. Step 3: Cross multiply
    100,244x = 145,628 × 145,628
  4. Step 4: Simplify right side
    100,244x = 21,207,514,384
  5. Step 5: Solve for x
    x = 21,207,514,384/100,244
  6. Step 6: Final answer
    x = 211,558.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.