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Finding the Third Proportional to 75,546 and 158,868

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Solution

The third proportional to 75,546 and 158,868 is: 334,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546 : 158,868 = 158,868 : x
  2. Step 2: Convert to fraction form
    75,546/158,868 = 158,868/x
  3. Step 3: Cross multiply
    75,546x = 158,868 × 158,868
  4. Step 4: Simplify right side
    75,546x = 25,239,041,424
  5. Step 5: Solve for x
    x = 25,239,041,424/75,546
  6. Step 6: Final answer
    x = 334,088.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.