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Finding the Third Proportional to 55,233.56 and 86,405.06

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Solution

The third proportional to 55,233.56 and 86,405.06 is: 135,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,233.56 : 86,405.06 = 86,405.06 : x
  2. Step 2: Convert to fraction form
    55,233.56/86,405.06 = 86,405.06/x
  3. Step 3: Cross multiply
    55,233.56x = 86,405.06 × 86,405.06
  4. Step 4: Simplify right side
    55,233.56x = 7,465,834,825.63
  5. Step 5: Solve for x
    x = 7,465,834,825.63/55,233.56
  6. Step 6: Final answer
    x = 135,168.45

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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.