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Finding the Third Proportional to 54,509.25 and 73,254

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Solution

The third proportional to 54,509.25 and 73,254 is: 98,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.25 : 73,254 = 73,254 : x
  2. Step 2: Convert to fraction form
    54,509.25/73,254 = 73,254/x
  3. Step 3: Cross multiply
    54,509.25x = 73,254 × 73,254
  4. Step 4: Simplify right side
    54,509.25x = 5,366,148,516
  5. Step 5: Solve for x
    x = 5,366,148,516/54,509.25
  6. Step 6: Final answer
    x = 98,444.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.