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Finding the Third Proportional to 56,642 and 132,288

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Solution

The third proportional to 56,642 and 132,288 is: 308,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642 : 132,288 = 132,288 : x
  2. Step 2: Convert to fraction form
    56,642/132,288 = 132,288/x
  3. Step 3: Cross multiply
    56,642x = 132,288 × 132,288
  4. Step 4: Simplify right side
    56,642x = 17,500,114,944
  5. Step 5: Solve for x
    x = 17,500,114,944/56,642
  6. Step 6: Final answer
    x = 308,960.05

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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.