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Finding the Third Proportional to 55,234.13 and 86,405.63

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Solution

The third proportional to 55,234.13 and 86,405.63 is: 135,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.13 : 86,405.63 = 86,405.63 : x
  2. Step 2: Convert to fraction form
    55,234.13/86,405.63 = 86,405.63/x
  3. Step 3: Cross multiply
    55,234.13x = 86,405.63 × 86,405.63
  4. Step 4: Simplify right side
    55,234.13x = 7,465,932,031.64
  5. Step 5: Solve for x
    x = 7,465,932,031.64/55,234.13
  6. Step 6: Final answer
    x = 135,168.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.