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Finding the Third Proportional to 55,428.50 and 86,002

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Solution

The third proportional to 55,428.50 and 86,002 is: 133,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,428.50 : 86,002 = 86,002 : x
  2. Step 2: Convert to fraction form
    55,428.50/86,002 = 86,002/x
  3. Step 3: Cross multiply
    55,428.50x = 86,002 × 86,002
  4. Step 4: Simplify right side
    55,428.50x = 7,396,344,004
  5. Step 5: Solve for x
    x = 7,396,344,004/55,428.50
  6. Step 6: Final answer
    x = 133,439.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.