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Finding the Third Proportional to 121,545 and 183,994

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Solution

The third proportional to 121,545 and 183,994 is: 278,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,545 : 183,994 = 183,994 : x
  2. Step 2: Convert to fraction form
    121,545/183,994 = 183,994/x
  3. Step 3: Cross multiply
    121,545x = 183,994 × 183,994
  4. Step 4: Simplify right side
    121,545x = 33,853,792,036
  5. Step 5: Solve for x
    x = 33,853,792,036/121,545
  6. Step 6: Final answer
    x = 278,528.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.