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Finding the Third Proportional to 43,746 and 90,408

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Solution

The third proportional to 43,746 and 90,408 is: 186,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746 : 90,408 = 90,408 : x
  2. Step 2: Convert to fraction form
    43,746/90,408 = 90,408/x
  3. Step 3: Cross multiply
    43,746x = 90,408 × 90,408
  4. Step 4: Simplify right side
    43,746x = 8,173,606,464
  5. Step 5: Solve for x
    x = 8,173,606,464/43,746
  6. Step 6: Final answer
    x = 186,842.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.