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Finding the Third Proportional to 74,480 and 154,144

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Solution

The third proportional to 74,480 and 154,144 is: 319,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,480 : 154,144 = 154,144 : x
  2. Step 2: Convert to fraction form
    74,480/154,144 = 154,144/x
  3. Step 3: Cross multiply
    74,480x = 154,144 × 154,144
  4. Step 4: Simplify right side
    74,480x = 23,760,372,736
  5. Step 5: Solve for x
    x = 23,760,372,736/74,480
  6. Step 6: Final answer
    x = 319,016.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.