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Finding the Third Proportional to 47,344 and 103,597

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Solution

The third proportional to 47,344 and 103,597 is: 226,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344 : 103,597 = 103,597 : x
  2. Step 2: Convert to fraction form
    47,344/103,597 = 103,597/x
  3. Step 3: Cross multiply
    47,344x = 103,597 × 103,597
  4. Step 4: Simplify right side
    47,344x = 10,732,338,409
  5. Step 5: Solve for x
    x = 10,732,338,409/47,344
  6. Step 6: Final answer
    x = 226,688.46

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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.