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Finding the Third Proportional to 106,576.50 and 164,239.50

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Solution

The third proportional to 106,576.50 and 164,239.50 is: 253,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,576.50 : 164,239.50 = 164,239.50 : x
  2. Step 2: Convert to fraction form
    106,576.50/164,239.50 = 164,239.50/x
  3. Step 3: Cross multiply
    106,576.50x = 164,239.50 × 164,239.50
  4. Step 4: Simplify right side
    106,576.50x = 26,974,613,360.25
  5. Step 5: Solve for x
    x = 26,974,613,360.25/106,576.50
  6. Step 6: Final answer
    x = 253,100.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.