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Finding the Third Proportional to 116,010 and 247,194

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Solution

The third proportional to 116,010 and 247,194 is: 526,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,010 : 247,194 = 247,194 : x
  2. Step 2: Convert to fraction form
    116,010/247,194 = 247,194/x
  3. Step 3: Cross multiply
    116,010x = 247,194 × 247,194
  4. Step 4: Simplify right side
    116,010x = 61,104,873,636
  5. Step 5: Solve for x
    x = 61,104,873,636/116,010
  6. Step 6: Final answer
    x = 526,720.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.