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Finding the Third Proportional to 115,939.13 and 184,429.13

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Solution

The third proportional to 115,939.13 and 184,429.13 is: 293,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,939.13 : 184,429.13 = 184,429.13 : x
  2. Step 2: Convert to fraction form
    115,939.13/184,429.13 = 184,429.13/x
  3. Step 3: Cross multiply
    115,939.13x = 184,429.13 × 184,429.13
  4. Step 4: Simplify right side
    115,939.13x = 34,014,102,148.27
  5. Step 5: Solve for x
    x = 34,014,102,148.27/115,939.13
  6. Step 6: Final answer
    x = 293,378.98

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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.