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Finding the Third Proportional to 124,664 and 270,224

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Solution

The third proportional to 124,664 and 270,224 is: 585,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 270,224 = 270,224 : x
  2. Step 2: Convert to fraction form
    124,664/270,224 = 270,224/x
  3. Step 3: Cross multiply
    124,664x = 270,224 × 270,224
  4. Step 4: Simplify right side
    124,664x = 73,021,010,176
  5. Step 5: Solve for x
    x = 73,021,010,176/124,664
  6. Step 6: Final answer
    x = 585,742.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.