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Finding the Third Proportional to 75,133 and 158,649

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Solution

The third proportional to 75,133 and 158,649 is: 334,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,133 : 158,649 = 158,649 : x
  2. Step 2: Convert to fraction form
    75,133/158,649 = 158,649/x
  3. Step 3: Cross multiply
    75,133x = 158,649 × 158,649
  4. Step 4: Simplify right side
    75,133x = 25,169,505,201
  5. Step 5: Solve for x
    x = 25,169,505,201/75,133
  6. Step 6: Final answer
    x = 334,999.34

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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.