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Finding the Third Proportional to 84,151 and 184,097

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Solution

The third proportional to 84,151 and 184,097 is: 402,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,151 : 184,097 = 184,097 : x
  2. Step 2: Convert to fraction form
    84,151/184,097 = 184,097/x
  3. Step 3: Cross multiply
    84,151x = 184,097 × 184,097
  4. Step 4: Simplify right side
    84,151x = 33,891,705,409
  5. Step 5: Solve for x
    x = 33,891,705,409/84,151
  6. Step 6: Final answer
    x = 402,748.69

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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.