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Finding the Third Proportional to 47,258 and 102,772

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Solution

The third proportional to 47,258 and 102,772 is: 223,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,258 : 102,772 = 102,772 : x
  2. Step 2: Convert to fraction form
    47,258/102,772 = 102,772/x
  3. Step 3: Cross multiply
    47,258x = 102,772 × 102,772
  4. Step 4: Simplify right side
    47,258x = 10,562,083,984
  5. Step 5: Solve for x
    x = 10,562,083,984/47,258
  6. Step 6: Final answer
    x = 223,498.33

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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.