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Finding the Third Proportional to 41,337 and 89,541

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Solution

The third proportional to 41,337 and 89,541 is: 193,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,337 : 89,541 = 89,541 : x
  2. Step 2: Convert to fraction form
    41,337/89,541 = 89,541/x
  3. Step 3: Cross multiply
    41,337x = 89,541 × 89,541
  4. Step 4: Simplify right side
    41,337x = 8,017,590,681
  5. Step 5: Solve for x
    x = 8,017,590,681/41,337
  6. Step 6: Final answer
    x = 193,956.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.