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Finding the Third Proportional to 40,308 and 87,756

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Solution

The third proportional to 40,308 and 87,756 is: 191,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,308 : 87,756 = 87,756 : x
  2. Step 2: Convert to fraction form
    40,308/87,756 = 87,756/x
  3. Step 3: Cross multiply
    40,308x = 87,756 × 87,756
  4. Step 4: Simplify right side
    40,308x = 7,701,115,536
  5. Step 5: Solve for x
    x = 7,701,115,536/40,308
  6. Step 6: Final answer
    x = 191,056.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.