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Finding the Third Proportional to 125,227 and 183,345

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Solution

The third proportional to 125,227 and 183,345 is: 268,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,227 : 183,345 = 183,345 : x
  2. Step 2: Convert to fraction form
    125,227/183,345 = 183,345/x
  3. Step 3: Cross multiply
    125,227x = 183,345 × 183,345
  4. Step 4: Simplify right side
    125,227x = 33,615,389,025
  5. Step 5: Solve for x
    x = 33,615,389,025/125,227
  6. Step 6: Final answer
    x = 268,435.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.