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Finding the Third Proportional to 94,184 and 133,896

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Solution

The third proportional to 94,184 and 133,896 is: 190,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,184 : 133,896 = 133,896 : x
  2. Step 2: Convert to fraction form
    94,184/133,896 = 133,896/x
  3. Step 3: Cross multiply
    94,184x = 133,896 × 133,896
  4. Step 4: Simplify right side
    94,184x = 17,928,138,816
  5. Step 5: Solve for x
    x = 17,928,138,816/94,184
  6. Step 6: Final answer
    x = 190,352.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.