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Finding the Third Proportional to 48,412 and 101,258

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Solution

The third proportional to 48,412 and 101,258 is: 211,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 101,258 = 101,258 : x
  2. Step 2: Convert to fraction form
    48,412/101,258 = 101,258/x
  3. Step 3: Cross multiply
    48,412x = 101,258 × 101,258
  4. Step 4: Simplify right side
    48,412x = 10,253,182,564
  5. Step 5: Solve for x
    x = 10,253,182,564/48,412
  6. Step 6: Final answer
    x = 211,790.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.