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Finding the Third Proportional to 47,534 and 102,604

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Solution

The third proportional to 47,534 and 102,604 is: 221,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534 : 102,604 = 102,604 : x
  2. Step 2: Convert to fraction form
    47,534/102,604 = 102,604/x
  3. Step 3: Cross multiply
    47,534x = 102,604 × 102,604
  4. Step 4: Simplify right side
    47,534x = 10,527,580,816
  5. Step 5: Solve for x
    x = 10,527,580,816/47,534
  6. Step 6: Final answer
    x = 221,474.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.