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Finding the Third Proportional to 85,036 and 179,294

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Solution

The third proportional to 85,036 and 179,294 is: 378,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,036 : 179,294 = 179,294 : x
  2. Step 2: Convert to fraction form
    85,036/179,294 = 179,294/x
  3. Step 3: Cross multiply
    85,036x = 179,294 × 179,294
  4. Step 4: Simplify right side
    85,036x = 32,146,338,436
  5. Step 5: Solve for x
    x = 32,146,338,436/85,036
  6. Step 6: Final answer
    x = 378,032.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.