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Finding the Third Proportional to 56,659.50 and 132,333.75

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Solution

The third proportional to 56,659.50 and 132,333.75 is: 309,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,659.50 : 132,333.75 = 132,333.75 : x
  2. Step 2: Convert to fraction form
    56,659.50/132,333.75 = 132,333.75/x
  3. Step 3: Cross multiply
    56,659.50x = 132,333.75 × 132,333.75
  4. Step 4: Simplify right side
    56,659.50x = 17,512,221,389.06
  5. Step 5: Solve for x
    x = 17,512,221,389.06/56,659.50
  6. Step 6: Final answer
    x = 309,078.29

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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.