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Finding the Third Proportional to 41,536 and 89,712

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Solution

The third proportional to 41,536 and 89,712 is: 193,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 89,712 = 89,712 : x
  2. Step 2: Convert to fraction form
    41,536/89,712 = 89,712/x
  3. Step 3: Cross multiply
    41,536x = 89,712 × 89,712
  4. Step 4: Simplify right side
    41,536x = 8,048,242,944
  5. Step 5: Solve for x
    x = 8,048,242,944/41,536
  6. Step 6: Final answer
    x = 193,765.48

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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.