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Finding the Third Proportional to 124,218 and 268,105

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Solution

The third proportional to 124,218 and 268,105 is: 578,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,218 : 268,105 = 268,105 : x
  2. Step 2: Convert to fraction form
    124,218/268,105 = 268,105/x
  3. Step 3: Cross multiply
    124,218x = 268,105 × 268,105
  4. Step 4: Simplify right side
    124,218x = 71,880,291,025
  5. Step 5: Solve for x
    x = 71,880,291,025/124,218
  6. Step 6: Final answer
    x = 578,662.44

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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.