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Finding the Third Proportional to 41,394 and 89,403

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Solution

The third proportional to 41,394 and 89,403 is: 193,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,394 : 89,403 = 89,403 : x
  2. Step 2: Convert to fraction form
    41,394/89,403 = 89,403/x
  3. Step 3: Cross multiply
    41,394x = 89,403 × 89,403
  4. Step 4: Simplify right side
    41,394x = 7,992,896,409
  5. Step 5: Solve for x
    x = 7,992,896,409/41,394
  6. Step 6: Final answer
    x = 193,093.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.