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Finding the Third Proportional to 56,176.88 and 85,415.34

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Solution

The third proportional to 56,176.88 and 85,415.34 is: 129,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,176.88 : 85,415.34 = 85,415.34 : x
  2. Step 2: Convert to fraction form
    56,176.88/85,415.34 = 85,415.34/x
  3. Step 3: Cross multiply
    56,176.88x = 85,415.34 × 85,415.34
  4. Step 4: Simplify right side
    56,176.88x = 7,295,780,947.93
  5. Step 5: Solve for x
    x = 7,295,780,947.93/56,176.88
  6. Step 6: Final answer
    x = 129,871.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.