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Finding the Third Proportional to 116,779 and 161,770

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Solution

The third proportional to 116,779 and 161,770 is: 224,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,779 : 161,770 = 161,770 : x
  2. Step 2: Convert to fraction form
    116,779/161,770 = 161,770/x
  3. Step 3: Cross multiply
    116,779x = 161,770 × 161,770
  4. Step 4: Simplify right side
    116,779x = 26,169,532,900
  5. Step 5: Solve for x
    x = 26,169,532,900/116,779
  6. Step 6: Final answer
    x = 224,094.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.