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Finding the Third Proportional to 47,314 and 103,028

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Solution

The third proportional to 47,314 and 103,028 is: 224,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314 : 103,028 = 103,028 : x
  2. Step 2: Convert to fraction form
    47,314/103,028 = 103,028/x
  3. Step 3: Cross multiply
    47,314x = 103,028 × 103,028
  4. Step 4: Simplify right side
    47,314x = 10,614,768,784
  5. Step 5: Solve for x
    x = 10,614,768,784/47,314
  6. Step 6: Final answer
    x = 224,347.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.