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Finding the Third Proportional to 74,986.71 and 106,103.94

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Solution

The third proportional to 74,986.71 and 106,103.94 is: 150,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,986.71 : 106,103.94 = 106,103.94 : x
  2. Step 2: Convert to fraction form
    74,986.71/106,103.94 = 106,103.94/x
  3. Step 3: Cross multiply
    74,986.71x = 106,103.94 × 106,103.94
  4. Step 4: Simplify right side
    74,986.71x = 11,258,045,837.95
  5. Step 5: Solve for x
    x = 11,258,045,837.95/74,986.71
  6. Step 6: Final answer
    x = 150,133.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.