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Finding the Third Proportional to 118,567 and 180,861

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Solution

The third proportional to 118,567 and 180,861 is: 275,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,567 : 180,861 = 180,861 : x
  2. Step 2: Convert to fraction form
    118,567/180,861 = 180,861/x
  3. Step 3: Cross multiply
    118,567x = 180,861 × 180,861
  4. Step 4: Simplify right side
    118,567x = 32,710,701,321
  5. Step 5: Solve for x
    x = 32,710,701,321/118,567
  6. Step 6: Final answer
    x = 275,883.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.