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Finding the Third Proportional to 47,214 and 102,688

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Solution

The third proportional to 47,214 and 102,688 is: 223,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 102,688 = 102,688 : x
  2. Step 2: Convert to fraction form
    47,214/102,688 = 102,688/x
  3. Step 3: Cross multiply
    47,214x = 102,688 × 102,688
  4. Step 4: Simplify right side
    47,214x = 10,544,825,344
  5. Step 5: Solve for x
    x = 10,544,825,344/47,214
  6. Step 6: Final answer
    x = 223,341.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.