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Finding the Third Proportional to 125,584 and 181,218

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Solution

The third proportional to 125,584 and 181,218 is: 261,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,584 : 181,218 = 181,218 : x
  2. Step 2: Convert to fraction form
    125,584/181,218 = 181,218/x
  3. Step 3: Cross multiply
    125,584x = 181,218 × 181,218
  4. Step 4: Simplify right side
    125,584x = 32,839,963,524
  5. Step 5: Solve for x
    x = 32,839,963,524/125,584
  6. Step 6: Final answer
    x = 261,497.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.