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Finding the Third Proportional to 45,443.25 and 106,135.88

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Solution

The third proportional to 45,443.25 and 106,135.88 is: 247,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,443.25 : 106,135.88 = 106,135.88 : x
  2. Step 2: Convert to fraction form
    45,443.25/106,135.88 = 106,135.88/x
  3. Step 3: Cross multiply
    45,443.25x = 106,135.88 × 106,135.88
  4. Step 4: Simplify right side
    45,443.25x = 11,264,823,962.02
  5. Step 5: Solve for x
    x = 11,264,823,962.02/45,443.25
  6. Step 6: Final answer
    x = 247,887.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.