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Finding the Third Proportional to 100,682 and 235,145

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Solution

The third proportional to 100,682 and 235,145 is: 549,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682 : 235,145 = 235,145 : x
  2. Step 2: Convert to fraction form
    100,682/235,145 = 235,145/x
  3. Step 3: Cross multiply
    100,682x = 235,145 × 235,145
  4. Step 4: Simplify right side
    100,682x = 55,293,171,025
  5. Step 5: Solve for x
    x = 55,293,171,025/100,682
  6. Step 6: Final answer
    x = 549,186.26

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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.