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Finding the Third Proportional to 74,425.50 and 106,103.25

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Solution

The third proportional to 74,425.50 and 106,103.25 is: 151,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,425.50 : 106,103.25 = 106,103.25 : x
  2. Step 2: Convert to fraction form
    74,425.50/106,103.25 = 106,103.25/x
  3. Step 3: Cross multiply
    74,425.50x = 106,103.25 × 106,103.25
  4. Step 4: Simplify right side
    74,425.50x = 11,257,899,660.56
  5. Step 5: Solve for x
    x = 11,257,899,660.56/74,425.50
  6. Step 6: Final answer
    x = 151,264.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.