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Finding the Third Proportional to 84,071 and 184,522

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Solution

The third proportional to 84,071 and 184,522 is: 404,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,071 : 184,522 = 184,522 : x
  2. Step 2: Convert to fraction form
    84,071/184,522 = 184,522/x
  3. Step 3: Cross multiply
    84,071x = 184,522 × 184,522
  4. Step 4: Simplify right side
    84,071x = 34,048,368,484
  5. Step 5: Solve for x
    x = 34,048,368,484/84,071
  6. Step 6: Final answer
    x = 404,995.40

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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.