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Finding the Third Proportional to 77,538.75 and 117,477.75

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Solution

The third proportional to 77,538.75 and 117,477.75 is: 177,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,538.75 : 117,477.75 = 117,477.75 : x
  2. Step 2: Convert to fraction form
    77,538.75/117,477.75 = 117,477.75/x
  3. Step 3: Cross multiply
    77,538.75x = 117,477.75 × 117,477.75
  4. Step 4: Simplify right side
    77,538.75x = 13,801,021,745.06
  5. Step 5: Solve for x
    x = 13,801,021,745.06/77,538.75
  6. Step 6: Final answer
    x = 177,988.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.