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Finding the Third Proportional to 54,454.50 and 86,706

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Solution

The third proportional to 54,454.50 and 86,706 is: 138,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,454.50 : 86,706 = 86,706 : x
  2. Step 2: Convert to fraction form
    54,454.50/86,706 = 86,706/x
  3. Step 3: Cross multiply
    54,454.50x = 86,706 × 86,706
  4. Step 4: Simplify right side
    54,454.50x = 7,517,930,436
  5. Step 5: Solve for x
    x = 7,517,930,436/54,454.50
  6. Step 6: Final answer
    x = 138,058.94

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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.