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Finding the Third Proportional to 56,704 and 132,443

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Solution

The third proportional to 56,704 and 132,443 is: 309,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,704 : 132,443 = 132,443 : x
  2. Step 2: Convert to fraction form
    56,704/132,443 = 132,443/x
  3. Step 3: Cross multiply
    56,704x = 132,443 × 132,443
  4. Step 4: Simplify right side
    56,704x = 17,541,148,249
  5. Step 5: Solve for x
    x = 17,541,148,249/56,704
  6. Step 6: Final answer
    x = 309,345.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.