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Finding the Third Proportional to 77,098.50 and 164,376

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Solution

The third proportional to 77,098.50 and 164,376 is: 350,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.50 : 164,376 = 164,376 : x
  2. Step 2: Convert to fraction form
    77,098.50/164,376 = 164,376/x
  3. Step 3: Cross multiply
    77,098.50x = 164,376 × 164,376
  4. Step 4: Simplify right side
    77,098.50x = 27,019,469,376
  5. Step 5: Solve for x
    x = 27,019,469,376/77,098.50
  6. Step 6: Final answer
    x = 350,453.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.