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Finding the Third Proportional to 81,778.50 and 115,971.75

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Solution

The third proportional to 81,778.50 and 115,971.75 is: 164,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,778.50 : 115,971.75 = 115,971.75 : x
  2. Step 2: Convert to fraction form
    81,778.50/115,971.75 = 115,971.75/x
  3. Step 3: Cross multiply
    81,778.50x = 115,971.75 × 115,971.75
  4. Step 4: Simplify right side
    81,778.50x = 13,449,446,798.06
  5. Step 5: Solve for x
    x = 13,449,446,798.06/81,778.50
  6. Step 6: Final answer
    x = 164,461.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.