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Finding the Third Proportional to 118,568 and 180,862

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Solution

The third proportional to 118,568 and 180,862 is: 275,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,568 : 180,862 = 180,862 : x
  2. Step 2: Convert to fraction form
    118,568/180,862 = 180,862/x
  3. Step 3: Cross multiply
    118,568x = 180,862 × 180,862
  4. Step 4: Simplify right side
    118,568x = 32,711,063,044
  5. Step 5: Solve for x
    x = 32,711,063,044/118,568
  6. Step 6: Final answer
    x = 275,884.41

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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.