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Finding the Third Proportional to 75,804.75 and 118,560.38

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Solution

The third proportional to 75,804.75 and 118,560.38 is: 185,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804.75 : 118,560.38 = 118,560.38 : x
  2. Step 2: Convert to fraction form
    75,804.75/118,560.38 = 118,560.38/x
  3. Step 3: Cross multiply
    75,804.75x = 118,560.38 × 118,560.38
  4. Step 4: Simplify right side
    75,804.75x = 14,056,562,520.14
  5. Step 5: Solve for x
    x = 14,056,562,520.14/75,804.75
  6. Step 6: Final answer
    x = 185,431.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.