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Finding the Third Proportional to 77,106.94 and 117,847.41

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Solution

The third proportional to 77,106.94 and 117,847.41 is: 180,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106.94 : 117,847.41 = 117,847.41 : x
  2. Step 2: Convert to fraction form
    77,106.94/117,847.41 = 117,847.41/x
  3. Step 3: Cross multiply
    77,106.94x = 117,847.41 × 117,847.41
  4. Step 4: Simplify right side
    77,106.94x = 13,888,011,159.85
  5. Step 5: Solve for x
    x = 13,888,011,159.85/77,106.94
  6. Step 6: Final answer
    x = 180,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.