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Finding the Third Proportional to 74,952 and 158,268

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Solution

The third proportional to 74,952 and 158,268 is: 334,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,952 : 158,268 = 158,268 : x
  2. Step 2: Convert to fraction form
    74,952/158,268 = 158,268/x
  3. Step 3: Cross multiply
    74,952x = 158,268 × 158,268
  4. Step 4: Simplify right side
    74,952x = 25,048,759,824
  5. Step 5: Solve for x
    x = 25,048,759,824/74,952
  6. Step 6: Final answer
    x = 334,197.35

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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.