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Finding the Third Proportional to 80,445.75 and 120,513

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Solution

The third proportional to 80,445.75 and 120,513 is: 180,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,445.75 : 120,513 = 120,513 : x
  2. Step 2: Convert to fraction form
    80,445.75/120,513 = 120,513/x
  3. Step 3: Cross multiply
    80,445.75x = 120,513 × 120,513
  4. Step 4: Simplify right side
    80,445.75x = 14,523,383,169
  5. Step 5: Solve for x
    x = 14,523,383,169/80,445.75
  6. Step 6: Final answer
    x = 180,536.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.