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Finding the Third Proportional to 116,774 and 166,411

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Solution

The third proportional to 116,774 and 166,411 is: 237,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,774 : 166,411 = 166,411 : x
  2. Step 2: Convert to fraction form
    116,774/166,411 = 166,411/x
  3. Step 3: Cross multiply
    116,774x = 166,411 × 166,411
  4. Step 4: Simplify right side
    116,774x = 27,692,620,921
  5. Step 5: Solve for x
    x = 27,692,620,921/116,774
  6. Step 6: Final answer
    x = 237,147.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.