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Finding the Third Proportional to 124,621 and 270,274

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Solution

The third proportional to 124,621 and 270,274 is: 586,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,621 : 270,274 = 270,274 : x
  2. Step 2: Convert to fraction form
    124,621/270,274 = 270,274/x
  3. Step 3: Cross multiply
    124,621x = 270,274 × 270,274
  4. Step 4: Simplify right side
    124,621x = 73,048,035,076
  5. Step 5: Solve for x
    x = 73,048,035,076/124,621
  6. Step 6: Final answer
    x = 586,161.52

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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.