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Finding the Third Proportional to 74,750 and 118,868

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Solution

The third proportional to 74,750 and 118,868 is: 189,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,750 : 118,868 = 118,868 : x
  2. Step 2: Convert to fraction form
    74,750/118,868 = 118,868/x
  3. Step 3: Cross multiply
    74,750x = 118,868 × 118,868
  4. Step 4: Simplify right side
    74,750x = 14,129,601,424
  5. Step 5: Solve for x
    x = 14,129,601,424/74,750
  6. Step 6: Final answer
    x = 189,024.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.