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Finding the Third Proportional to 116,786 and 184,629

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Solution

The third proportional to 116,786 and 184,629 is: 291,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,786 : 184,629 = 184,629 : x
  2. Step 2: Convert to fraction form
    116,786/184,629 = 184,629/x
  3. Step 3: Cross multiply
    116,786x = 184,629 × 184,629
  4. Step 4: Simplify right side
    116,786x = 34,087,867,641
  5. Step 5: Solve for x
    x = 34,087,867,641/116,786
  6. Step 6: Final answer
    x = 291,883.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.