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Finding the Third Proportional to 34,228 and 74,072

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Solution

The third proportional to 34,228 and 74,072 is: 160,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228 : 74,072 = 74,072 : x
  2. Step 2: Convert to fraction form
    34,228/74,072 = 74,072/x
  3. Step 3: Cross multiply
    34,228x = 74,072 × 74,072
  4. Step 4: Simplify right side
    34,228x = 5,486,661,184
  5. Step 5: Solve for x
    x = 5,486,661,184/34,228
  6. Step 6: Final answer
    x = 160,297.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.