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Finding the Third Proportional to 84,846 and 185,082

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Solution

The third proportional to 84,846 and 185,082 is: 403,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846 : 185,082 = 185,082 : x
  2. Step 2: Convert to fraction form
    84,846/185,082 = 185,082/x
  3. Step 3: Cross multiply
    84,846x = 185,082 × 185,082
  4. Step 4: Simplify right side
    84,846x = 34,255,346,724
  5. Step 5: Solve for x
    x = 34,255,346,724/84,846
  6. Step 6: Final answer
    x = 403,735.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.