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Finding the Third Proportional to 74,902 and 158,255

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Solution

The third proportional to 74,902 and 158,255 is: 334,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,902 : 158,255 = 158,255 : x
  2. Step 2: Convert to fraction form
    74,902/158,255 = 158,255/x
  3. Step 3: Cross multiply
    74,902x = 158,255 × 158,255
  4. Step 4: Simplify right side
    74,902x = 25,044,645,025
  5. Step 5: Solve for x
    x = 25,044,645,025/74,902
  6. Step 6: Final answer
    x = 334,365.50

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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.