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Finding the Third Proportional to 76,368 and 164,036

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Solution

The third proportional to 76,368 and 164,036 is: 352,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,368 : 164,036 = 164,036 : x
  2. Step 2: Convert to fraction form
    76,368/164,036 = 164,036/x
  3. Step 3: Cross multiply
    76,368x = 164,036 × 164,036
  4. Step 4: Simplify right side
    76,368x = 26,907,809,296
  5. Step 5: Solve for x
    x = 26,907,809,296/76,368
  6. Step 6: Final answer
    x = 352,344.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.