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Finding the Third Proportional to 121,706 and 181,546

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Solution

The third proportional to 121,706 and 181,546 is: 270,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,706 : 181,546 = 181,546 : x
  2. Step 2: Convert to fraction form
    121,706/181,546 = 181,546/x
  3. Step 3: Cross multiply
    121,706x = 181,546 × 181,546
  4. Step 4: Simplify right side
    121,706x = 32,958,950,116
  5. Step 5: Solve for x
    x = 32,958,950,116/121,706
  6. Step 6: Final answer
    x = 270,807.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.