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Finding the Third Proportional to 56,634.75 and 132,271.88

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Solution

The third proportional to 56,634.75 and 132,271.88 is: 308,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,634.75 : 132,271.88 = 132,271.88 : x
  2. Step 2: Convert to fraction form
    56,634.75/132,271.88 = 132,271.88/x
  3. Step 3: Cross multiply
    56,634.75x = 132,271.88 × 132,271.88
  4. Step 4: Simplify right side
    56,634.75x = 17,495,848,916.02
  5. Step 5: Solve for x
    x = 17,495,848,916.02/56,634.75
  6. Step 6: Final answer
    x = 308,924.27

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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.