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Finding the Third Proportional to 85,104 and 184,952

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Solution

The third proportional to 85,104 and 184,952 is: 401,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,104 : 184,952 = 184,952 : x
  2. Step 2: Convert to fraction form
    85,104/184,952 = 184,952/x
  3. Step 3: Cross multiply
    85,104x = 184,952 × 184,952
  4. Step 4: Simplify right side
    85,104x = 34,207,242,304
  5. Step 5: Solve for x
    x = 34,207,242,304/85,104
  6. Step 6: Final answer
    x = 401,946.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.