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Finding the Third Proportional to 56,786.34 and 87,548.77

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Solution

The third proportional to 56,786.34 and 87,548.77 is: 134,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,786.34 : 87,548.77 = 87,548.77 : x
  2. Step 2: Convert to fraction form
    56,786.34/87,548.77 = 87,548.77/x
  3. Step 3: Cross multiply
    56,786.34x = 87,548.77 × 87,548.77
  4. Step 4: Simplify right side
    56,786.34x = 7,664,786,362.46
  5. Step 5: Solve for x
    x = 7,664,786,362.46/56,786.34
  6. Step 6: Final answer
    x = 134,975.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.