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Finding the Third Proportional to 117,021 and 247,986

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Solution

The third proportional to 117,021 and 247,986 is: 525,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,021 : 247,986 = 247,986 : x
  2. Step 2: Convert to fraction form
    117,021/247,986 = 247,986/x
  3. Step 3: Cross multiply
    117,021x = 247,986 × 247,986
  4. Step 4: Simplify right side
    117,021x = 61,497,056,196
  5. Step 5: Solve for x
    x = 61,497,056,196/117,021
  6. Step 6: Final answer
    x = 525,521.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.