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Finding the Third Proportional to 116,028 and 180,882

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Solution

The third proportional to 116,028 and 180,882 is: 281,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,028 : 180,882 = 180,882 : x
  2. Step 2: Convert to fraction form
    116,028/180,882 = 180,882/x
  3. Step 3: Cross multiply
    116,028x = 180,882 × 180,882
  4. Step 4: Simplify right side
    116,028x = 32,718,297,924
  5. Step 5: Solve for x
    x = 32,718,297,924/116,028
  6. Step 6: Final answer
    x = 281,986.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.