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Finding the Third Proportional to 135,751 and 292,536

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Solution

The third proportional to 135,751 and 292,536 is: 630,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,751 : 292,536 = 292,536 : x
  2. Step 2: Convert to fraction form
    135,751/292,536 = 292,536/x
  3. Step 3: Cross multiply
    135,751x = 292,536 × 292,536
  4. Step 4: Simplify right side
    135,751x = 85,577,311,296
  5. Step 5: Solve for x
    x = 85,577,311,296/135,751
  6. Step 6: Final answer
    x = 630,399.12

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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.