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Finding the Third Proportional to 118,564.50 and 180,813

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Solution

The third proportional to 118,564.50 and 180,813 is: 275,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,564.50 : 180,813 = 180,813 : x
  2. Step 2: Convert to fraction form
    118,564.50/180,813 = 180,813/x
  3. Step 3: Cross multiply
    118,564.50x = 180,813 × 180,813
  4. Step 4: Simplify right side
    118,564.50x = 32,693,340,969
  5. Step 5: Solve for x
    x = 32,693,340,969/118,564.50
  6. Step 6: Final answer
    x = 275,743.08

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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.