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Finding the Third Proportional to 75,804 and 118,559.25

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Solution

The third proportional to 75,804 and 118,559.25 is: 185,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804 : 118,559.25 = 118,559.25 : x
  2. Step 2: Convert to fraction form
    75,804/118,559.25 = 118,559.25/x
  3. Step 3: Cross multiply
    75,804x = 118,559.25 × 118,559.25
  4. Step 4: Simplify right side
    75,804x = 14,056,295,760.56
  5. Step 5: Solve for x
    x = 14,056,295,760.56/75,804
  6. Step 6: Final answer
    x = 185,429.47

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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.