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Finding the Third Proportional to 84,070 and 184,520

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Solution

The third proportional to 84,070 and 184,520 is: 404,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,070 : 184,520 = 184,520 : x
  2. Step 2: Convert to fraction form
    84,070/184,520 = 184,520/x
  3. Step 3: Cross multiply
    84,070x = 184,520 × 184,520
  4. Step 4: Simplify right side
    84,070x = 34,047,630,400
  5. Step 5: Solve for x
    x = 34,047,630,400/84,070
  6. Step 6: Final answer
    x = 404,991.44

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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.