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Finding the Third Proportional to 85,121 and 184,987

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Solution

The third proportional to 85,121 and 184,987 is: 402,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,121 : 184,987 = 184,987 : x
  2. Step 2: Convert to fraction form
    85,121/184,987 = 184,987/x
  3. Step 3: Cross multiply
    85,121x = 184,987 × 184,987
  4. Step 4: Simplify right side
    85,121x = 34,220,190,169
  5. Step 5: Solve for x
    x = 34,220,190,169/85,121
  6. Step 6: Final answer
    x = 402,018.19

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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.