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Finding the Third Proportional to 47,324 and 103,640

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Solution

The third proportional to 47,324 and 103,640 is: 226,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 103,640 = 103,640 : x
  2. Step 2: Convert to fraction form
    47,324/103,640 = 103,640/x
  3. Step 3: Cross multiply
    47,324x = 103,640 × 103,640
  4. Step 4: Simplify right side
    47,324x = 10,741,249,600
  5. Step 5: Solve for x
    x = 10,741,249,600/47,324
  6. Step 6: Final answer
    x = 226,972.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.