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Finding the Third Proportional to 116,069 and 184,472

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Solution

The third proportional to 116,069 and 184,472 is: 293,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,069 : 184,472 = 184,472 : x
  2. Step 2: Convert to fraction form
    116,069/184,472 = 184,472/x
  3. Step 3: Cross multiply
    116,069x = 184,472 × 184,472
  4. Step 4: Simplify right side
    116,069x = 34,029,918,784
  5. Step 5: Solve for x
    x = 34,029,918,784/116,069
  6. Step 6: Final answer
    x = 293,186.97

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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.