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Finding the Third Proportional to 47,414 and 102,028

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Solution

The third proportional to 47,414 and 102,028 is: 219,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414 : 102,028 = 102,028 : x
  2. Step 2: Convert to fraction form
    47,414/102,028 = 102,028/x
  3. Step 3: Cross multiply
    47,414x = 102,028 × 102,028
  4. Step 4: Simplify right side
    47,414x = 10,409,712,784
  5. Step 5: Solve for x
    x = 10,409,712,784/47,414
  6. Step 6: Final answer
    x = 219,549.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.