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Finding the Third Proportional to 84,642 and 185,964

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Solution

The third proportional to 84,642 and 185,964 is: 408,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642 : 185,964 = 185,964 : x
  2. Step 2: Convert to fraction form
    84,642/185,964 = 185,964/x
  3. Step 3: Cross multiply
    84,642x = 185,964 × 185,964
  4. Step 4: Simplify right side
    84,642x = 34,582,609,296
  5. Step 5: Solve for x
    x = 34,582,609,296/84,642
  6. Step 6: Final answer
    x = 408,575.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.