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Finding the Third Proportional to 124,224 and 268,224

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Solution

The third proportional to 124,224 and 268,224 is: 579,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,224 : 268,224 = 268,224 : x
  2. Step 2: Convert to fraction form
    124,224/268,224 = 268,224/x
  3. Step 3: Cross multiply
    124,224x = 268,224 × 268,224
  4. Step 4: Simplify right side
    124,224x = 71,944,114,176
  5. Step 5: Solve for x
    x = 71,944,114,176/124,224
  6. Step 6: Final answer
    x = 579,148.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.