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Finding the Third Proportional to 40,967 and 88,495

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Solution

The third proportional to 40,967 and 88,495 is: 191,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,967 : 88,495 = 88,495 : x
  2. Step 2: Convert to fraction form
    40,967/88,495 = 88,495/x
  3. Step 3: Cross multiply
    40,967x = 88,495 × 88,495
  4. Step 4: Simplify right side
    40,967x = 7,831,365,025
  5. Step 5: Solve for x
    x = 7,831,365,025/40,967
  6. Step 6: Final answer
    x = 191,162.77

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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.