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Finding the Third Proportional to 118,563.50 and 180,855.75

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Solution

The third proportional to 118,563.50 and 180,855.75 is: 275,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,563.50 : 180,855.75 = 180,855.75 : x
  2. Step 2: Convert to fraction form
    118,563.50/180,855.75 = 180,855.75/x
  3. Step 3: Cross multiply
    118,563.50x = 180,855.75 × 180,855.75
  4. Step 4: Simplify right side
    118,563.50x = 32,708,802,308.06
  5. Step 5: Solve for x
    x = 32,708,802,308.06/118,563.50
  6. Step 6: Final answer
    x = 275,875.82

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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.