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Finding the Third Proportional to 77,684.50 and 117,576.75

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Solution

The third proportional to 77,684.50 and 117,576.75 is: 177,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.50 : 117,576.75 = 117,576.75 : x
  2. Step 2: Convert to fraction form
    77,684.50/117,576.75 = 117,576.75/x
  3. Step 3: Cross multiply
    77,684.50x = 117,576.75 × 117,576.75
  4. Step 4: Simplify right side
    77,684.50x = 13,824,292,140.56
  5. Step 5: Solve for x
    x = 13,824,292,140.56/77,684.50
  6. Step 6: Final answer
    x = 177,954.32

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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.