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Finding the Third Proportional to 116,023 and 184,617

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Solution

The third proportional to 116,023 and 184,617 is: 293,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,023 : 184,617 = 184,617 : x
  2. Step 2: Convert to fraction form
    116,023/184,617 = 184,617/x
  3. Step 3: Cross multiply
    116,023x = 184,617 × 184,617
  4. Step 4: Simplify right side
    116,023x = 34,083,436,689
  5. Step 5: Solve for x
    x = 34,083,436,689/116,023
  6. Step 6: Final answer
    x = 293,764.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.