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Finding the Third Proportional to 45,324 and 97,947

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Solution

The third proportional to 45,324 and 97,947 is: 211,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,324 : 97,947 = 97,947 : x
  2. Step 2: Convert to fraction form
    45,324/97,947 = 97,947/x
  3. Step 3: Cross multiply
    45,324x = 97,947 × 97,947
  4. Step 4: Simplify right side
    45,324x = 9,593,614,809
  5. Step 5: Solve for x
    x = 9,593,614,809/45,324
  6. Step 6: Final answer
    x = 211,667.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.