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Finding the Third Proportional to 41,129 and 88,495

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Solution

The third proportional to 41,129 and 88,495 is: 190,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129 : 88,495 = 88,495 : x
  2. Step 2: Convert to fraction form
    41,129/88,495 = 88,495/x
  3. Step 3: Cross multiply
    41,129x = 88,495 × 88,495
  4. Step 4: Simplify right side
    41,129x = 7,831,365,025
  5. Step 5: Solve for x
    x = 7,831,365,025/41,129
  6. Step 6: Final answer
    x = 190,409.81

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Why These Related Problems?

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