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Finding the Third Proportional to 54,013 and 84,537.50

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Solution

The third proportional to 54,013 and 84,537.50 is: 132,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,013 : 84,537.50 = 84,537.50 : x
  2. Step 2: Convert to fraction form
    54,013/84,537.50 = 84,537.50/x
  3. Step 3: Cross multiply
    54,013x = 84,537.50 × 84,537.50
  4. Step 4: Simplify right side
    54,013x = 7,146,588,906.25
  5. Step 5: Solve for x
    x = 7,146,588,906.25/54,013
  6. Step 6: Final answer
    x = 132,312.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.