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Finding the Third Proportional to 54,238.50 and 86,283

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Solution

The third proportional to 54,238.50 and 86,283 is: 137,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238.50 : 86,283 = 86,283 : x
  2. Step 2: Convert to fraction form
    54,238.50/86,283 = 86,283/x
  3. Step 3: Cross multiply
    54,238.50x = 86,283 × 86,283
  4. Step 4: Simplify right side
    54,238.50x = 7,444,756,089
  5. Step 5: Solve for x
    x = 7,444,756,089/54,238.50
  6. Step 6: Final answer
    x = 137,259.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.