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Finding the Third Proportional to 132,756 and 291,756

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Solution

The third proportional to 132,756 and 291,756 is: 641,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,756 : 291,756 = 291,756 : x
  2. Step 2: Convert to fraction form
    132,756/291,756 = 291,756/x
  3. Step 3: Cross multiply
    132,756x = 291,756 × 291,756
  4. Step 4: Simplify right side
    132,756x = 85,121,563,536
  5. Step 5: Solve for x
    x = 85,121,563,536/132,756
  6. Step 6: Final answer
    x = 641,188.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.