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Finding the Third Proportional to 127,884.50 and 191,037

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Solution

The third proportional to 127,884.50 and 191,037 is: 285,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,884.50 : 191,037 = 191,037 : x
  2. Step 2: Convert to fraction form
    127,884.50/191,037 = 191,037/x
  3. Step 3: Cross multiply
    127,884.50x = 191,037 × 191,037
  4. Step 4: Simplify right side
    127,884.50x = 36,495,135,369
  5. Step 5: Solve for x
    x = 36,495,135,369/127,884.50
  6. Step 6: Final answer
    x = 285,375.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.