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Finding the Third Proportional to 77,709.75 and 167,824.50

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Solution

The third proportional to 77,709.75 and 167,824.50 is: 362,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.75 : 167,824.50 = 167,824.50 : x
  2. Step 2: Convert to fraction form
    77,709.75/167,824.50 = 167,824.50/x
  3. Step 3: Cross multiply
    77,709.75x = 167,824.50 × 167,824.50
  4. Step 4: Simplify right side
    77,709.75x = 28,165,062,800.25
  5. Step 5: Solve for x
    x = 28,165,062,800.25/77,709.75
  6. Step 6: Final answer
    x = 362,439.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.