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Finding the Third Proportional to 75,027 and 118,804.50

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Solution

The third proportional to 75,027 and 118,804.50 is: 188,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,027 : 118,804.50 = 118,804.50 : x
  2. Step 2: Convert to fraction form
    75,027/118,804.50 = 118,804.50/x
  3. Step 3: Cross multiply
    75,027x = 118,804.50 × 118,804.50
  4. Step 4: Simplify right side
    75,027x = 14,114,509,220.25
  5. Step 5: Solve for x
    x = 14,114,509,220.25/75,027
  6. Step 6: Final answer
    x = 188,125.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.