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Finding the Third Proportional to 54,365 and 81,294.50

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Solution

The third proportional to 54,365 and 81,294.50 is: 121,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,365 : 81,294.50 = 81,294.50 : x
  2. Step 2: Convert to fraction form
    54,365/81,294.50 = 81,294.50/x
  3. Step 3: Cross multiply
    54,365x = 81,294.50 × 81,294.50
  4. Step 4: Simplify right side
    54,365x = 6,608,795,730.25
  5. Step 5: Solve for x
    x = 6,608,795,730.25/54,365
  6. Step 6: Final answer
    x = 121,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.