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Finding the Third Proportional to 47,700 and 102,838

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Solution

The third proportional to 47,700 and 102,838 is: 221,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700 : 102,838 = 102,838 : x
  2. Step 2: Convert to fraction form
    47,700/102,838 = 102,838/x
  3. Step 3: Cross multiply
    47,700x = 102,838 × 102,838
  4. Step 4: Simplify right side
    47,700x = 10,575,654,244
  5. Step 5: Solve for x
    x = 10,575,654,244/47,700
  6. Step 6: Final answer
    x = 221,711.83

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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.