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Finding the Third Proportional to 130,746 and 184,119

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Solution

The third proportional to 130,746 and 184,119 is: 259,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,746 : 184,119 = 184,119 : x
  2. Step 2: Convert to fraction form
    130,746/184,119 = 184,119/x
  3. Step 3: Cross multiply
    130,746x = 184,119 × 184,119
  4. Step 4: Simplify right side
    130,746x = 33,899,806,161
  5. Step 5: Solve for x
    x = 33,899,806,161/130,746
  6. Step 6: Final answer
    x = 259,279.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.