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Finding the Third Proportional to 56,326 and 87,722

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Solution

The third proportional to 56,326 and 87,722 is: 136,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,326 : 87,722 = 87,722 : x
  2. Step 2: Convert to fraction form
    56,326/87,722 = 87,722/x
  3. Step 3: Cross multiply
    56,326x = 87,722 × 87,722
  4. Step 4: Simplify right side
    56,326x = 7,695,149,284
  5. Step 5: Solve for x
    x = 7,695,149,284/56,326
  6. Step 6: Final answer
    x = 136,618.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.