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Finding the Third Proportional to 54,328 and 73,243

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Solution

The third proportional to 54,328 and 73,243 is: 98,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328 : 73,243 = 73,243 : x
  2. Step 2: Convert to fraction form
    54,328/73,243 = 73,243/x
  3. Step 3: Cross multiply
    54,328x = 73,243 × 73,243
  4. Step 4: Simplify right side
    54,328x = 5,364,537,049
  5. Step 5: Solve for x
    x = 5,364,537,049/54,328
  6. Step 6: Final answer
    x = 98,743.50

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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.