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Finding the Third Proportional to 84,145 and 184,130

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Solution

The third proportional to 84,145 and 184,130 is: 402,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,145 : 184,130 = 184,130 : x
  2. Step 2: Convert to fraction form
    84,145/184,130 = 184,130/x
  3. Step 3: Cross multiply
    84,145x = 184,130 × 184,130
  4. Step 4: Simplify right side
    84,145x = 33,903,856,900
  5. Step 5: Solve for x
    x = 33,903,856,900/84,145
  6. Step 6: Final answer
    x = 402,921.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.