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Finding the Third Proportional to 47,783 and 102,262

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Solution

The third proportional to 47,783 and 102,262 is: 218,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783 : 102,262 = 102,262 : x
  2. Step 2: Convert to fraction form
    47,783/102,262 = 102,262/x
  3. Step 3: Cross multiply
    47,783x = 102,262 × 102,262
  4. Step 4: Simplify right side
    47,783x = 10,457,516,644
  5. Step 5: Solve for x
    x = 10,457,516,644/47,783
  6. Step 6: Final answer
    x = 218,854.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.