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Finding the Third Proportional to 41,818 and 88,495

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Solution

The third proportional to 41,818 and 88,495 is: 187,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,818 : 88,495 = 88,495 : x
  2. Step 2: Convert to fraction form
    41,818/88,495 = 88,495/x
  3. Step 3: Cross multiply
    41,818x = 88,495 × 88,495
  4. Step 4: Simplify right side
    41,818x = 7,831,365,025
  5. Step 5: Solve for x
    x = 7,831,365,025/41,818
  6. Step 6: Final answer
    x = 187,272.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.