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Finding the Third Proportional to 94,434 and 144,933

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Solution

The third proportional to 94,434 and 144,933 is: 222,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,434 : 144,933 = 144,933 : x
  2. Step 2: Convert to fraction form
    94,434/144,933 = 144,933/x
  3. Step 3: Cross multiply
    94,434x = 144,933 × 144,933
  4. Step 4: Simplify right side
    94,434x = 21,005,574,489
  5. Step 5: Solve for x
    x = 21,005,574,489/94,434
  6. Step 6: Final answer
    x = 222,436.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.