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Finding the Third Proportional to 116,663 and 180,989

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Solution

The third proportional to 116,663 and 180,989 is: 280,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,663 : 180,989 = 180,989 : x
  2. Step 2: Convert to fraction form
    116,663/180,989 = 180,989/x
  3. Step 3: Cross multiply
    116,663x = 180,989 × 180,989
  4. Step 4: Simplify right side
    116,663x = 32,757,018,121
  5. Step 5: Solve for x
    x = 32,757,018,121/116,663
  6. Step 6: Final answer
    x = 280,783.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.