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Finding the Third Proportional to 74,944 and 158,168

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Solution

The third proportional to 74,944 and 158,168 is: 333,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,944 : 158,168 = 158,168 : x
  2. Step 2: Convert to fraction form
    74,944/158,168 = 158,168/x
  3. Step 3: Cross multiply
    74,944x = 158,168 × 158,168
  4. Step 4: Simplify right side
    74,944x = 25,017,116,224
  5. Step 5: Solve for x
    x = 25,017,116,224/74,944
  6. Step 6: Final answer
    x = 333,810.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.