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Finding the Third Proportional to 41,528 and 89,392

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Solution

The third proportional to 41,528 and 89,392 is: 192,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,528 : 89,392 = 89,392 : x
  2. Step 2: Convert to fraction form
    41,528/89,392 = 89,392/x
  3. Step 3: Cross multiply
    41,528x = 89,392 × 89,392
  4. Step 4: Simplify right side
    41,528x = 7,990,929,664
  5. Step 5: Solve for x
    x = 7,990,929,664/41,528
  6. Step 6: Final answer
    x = 192,422.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.