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Finding the Third Proportional to 74,480 and 162,112

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Solution

The third proportional to 74,480 and 162,112 is: 352,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,480 : 162,112 = 162,112 : x
  2. Step 2: Convert to fraction form
    74,480/162,112 = 162,112/x
  3. Step 3: Cross multiply
    74,480x = 162,112 × 162,112
  4. Step 4: Simplify right side
    74,480x = 26,280,300,544
  5. Step 5: Solve for x
    x = 26,280,300,544/74,480
  6. Step 6: Final answer
    x = 352,850.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.