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Finding the Third Proportional to 47,620 and 103,706

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Solution

The third proportional to 47,620 and 103,706 is: 225,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620 : 103,706 = 103,706 : x
  2. Step 2: Convert to fraction form
    47,620/103,706 = 103,706/x
  3. Step 3: Cross multiply
    47,620x = 103,706 × 103,706
  4. Step 4: Simplify right side
    47,620x = 10,754,934,436
  5. Step 5: Solve for x
    x = 10,754,934,436/47,620
  6. Step 6: Final answer
    x = 225,849.11

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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.