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Finding the Third Proportional to 54,322 and 73,098

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Solution

The third proportional to 54,322 and 73,098 is: 98,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322 : 73,098 = 73,098 : x
  2. Step 2: Convert to fraction form
    54,322/73,098 = 73,098/x
  3. Step 3: Cross multiply
    54,322x = 73,098 × 73,098
  4. Step 4: Simplify right side
    54,322x = 5,343,317,604
  5. Step 5: Solve for x
    x = 5,343,317,604/54,322
  6. Step 6: Final answer
    x = 98,363.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.