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Finding the Third Proportional to 76,710.75 and 164,083.50

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Solution

The third proportional to 76,710.75 and 164,083.50 is: 350,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.75 : 164,083.50 = 164,083.50 : x
  2. Step 2: Convert to fraction form
    76,710.75/164,083.50 = 164,083.50/x
  3. Step 3: Cross multiply
    76,710.75x = 164,083.50 × 164,083.50
  4. Step 4: Simplify right side
    76,710.75x = 26,923,394,972.25
  5. Step 5: Solve for x
    x = 26,923,394,972.25/76,710.75
  6. Step 6: Final answer
    x = 350,972.91

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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.