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Finding the Third Proportional to 81,933.75 and 117,597

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Solution

The third proportional to 81,933.75 and 117,597 is: 168,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,933.75 : 117,597 = 117,597 : x
  2. Step 2: Convert to fraction form
    81,933.75/117,597 = 117,597/x
  3. Step 3: Cross multiply
    81,933.75x = 117,597 × 117,597
  4. Step 4: Simplify right side
    81,933.75x = 13,829,054,409
  5. Step 5: Solve for x
    x = 13,829,054,409/81,933.75
  6. Step 6: Final answer
    x = 168,783.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.