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Finding the Third Proportional to 86,751 and 190,107

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Solution

The third proportional to 86,751 and 190,107 is: 416,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,751 : 190,107 = 190,107 : x
  2. Step 2: Convert to fraction form
    86,751/190,107 = 190,107/x
  3. Step 3: Cross multiply
    86,751x = 190,107 × 190,107
  4. Step 4: Simplify right side
    86,751x = 36,140,671,449
  5. Step 5: Solve for x
    x = 36,140,671,449/86,751
  6. Step 6: Final answer
    x = 416,602.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.