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Finding the Third Proportional to 53,914.50 and 81,627

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Solution

The third proportional to 53,914.50 and 81,627 is: 123,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914.50 : 81,627 = 81,627 : x
  2. Step 2: Convert to fraction form
    53,914.50/81,627 = 81,627/x
  3. Step 3: Cross multiply
    53,914.50x = 81,627 × 81,627
  4. Step 4: Simplify right side
    53,914.50x = 6,662,967,129
  5. Step 5: Solve for x
    x = 6,662,967,129/53,914.50
  6. Step 6: Final answer
    x = 123,583.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.