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Finding the Third Proportional to 76,551 and 164,176

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Solution

The third proportional to 76,551 and 164,176 is: 352,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551 : 164,176 = 164,176 : x
  2. Step 2: Convert to fraction form
    76,551/164,176 = 164,176/x
  3. Step 3: Cross multiply
    76,551x = 164,176 × 164,176
  4. Step 4: Simplify right side
    76,551x = 26,953,758,976
  5. Step 5: Solve for x
    x = 26,953,758,976/76,551
  6. Step 6: Final answer
    x = 352,101.98

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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.