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Finding the Third Proportional to 77,954.44 and 117,633.75

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Solution

The third proportional to 77,954.44 and 117,633.75 is: 177,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954.44 : 117,633.75 = 117,633.75 : x
  2. Step 2: Convert to fraction form
    77,954.44/117,633.75 = 117,633.75/x
  3. Step 3: Cross multiply
    77,954.44x = 117,633.75 × 117,633.75
  4. Step 4: Simplify right side
    77,954.44x = 13,837,699,139.06
  5. Step 5: Solve for x
    x = 13,837,699,139.06/77,954.44
  6. Step 6: Final answer
    x = 177,510.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.