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Finding the Third Proportional to 76,109 and 164,413

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Solution

The third proportional to 76,109 and 164,413 is: 355,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109 : 164,413 = 164,413 : x
  2. Step 2: Convert to fraction form
    76,109/164,413 = 164,413/x
  3. Step 3: Cross multiply
    76,109x = 164,413 × 164,413
  4. Step 4: Simplify right side
    76,109x = 27,031,634,569
  5. Step 5: Solve for x
    x = 27,031,634,569/76,109
  6. Step 6: Final answer
    x = 355,170.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.