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Finding the Third Proportional to 56,676.50 and 88,164.75

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Solution

The third proportional to 56,676.50 and 88,164.75 is: 137,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676.50 : 88,164.75 = 88,164.75 : x
  2. Step 2: Convert to fraction form
    56,676.50/88,164.75 = 88,164.75/x
  3. Step 3: Cross multiply
    56,676.50x = 88,164.75 × 88,164.75
  4. Step 4: Simplify right side
    56,676.50x = 7,773,023,142.56
  5. Step 5: Solve for x
    x = 7,773,023,142.56/56,676.50
  6. Step 6: Final answer
    x = 137,147.20

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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.