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Finding the Third Proportional to 68,028 and 158,855

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Solution

The third proportional to 68,028 and 158,855 is: 370,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,028 : 158,855 = 158,855 : x
  2. Step 2: Convert to fraction form
    68,028/158,855 = 158,855/x
  3. Step 3: Cross multiply
    68,028x = 158,855 × 158,855
  4. Step 4: Simplify right side
    68,028x = 25,234,911,025
  5. Step 5: Solve for x
    x = 25,234,911,025/68,028
  6. Step 6: Final answer
    x = 370,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.