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Finding the Third Proportional to 85,214 and 182,764

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Solution

The third proportional to 85,214 and 182,764 is: 391,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214 : 182,764 = 182,764 : x
  2. Step 2: Convert to fraction form
    85,214/182,764 = 182,764/x
  3. Step 3: Cross multiply
    85,214x = 182,764 × 182,764
  4. Step 4: Simplify right side
    85,214x = 33,402,679,696
  5. Step 5: Solve for x
    x = 33,402,679,696/85,214
  6. Step 6: Final answer
    x = 391,985.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.