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Finding the Third Proportional to 85,026 and 186,213

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Solution

The third proportional to 85,026 and 186,213 is: 407,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,026 : 186,213 = 186,213 : x
  2. Step 2: Convert to fraction form
    85,026/186,213 = 186,213/x
  3. Step 3: Cross multiply
    85,026x = 186,213 × 186,213
  4. Step 4: Simplify right side
    85,026x = 34,675,281,369
  5. Step 5: Solve for x
    x = 34,675,281,369/85,026
  6. Step 6: Final answer
    x = 407,819.74

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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.