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Finding the Third Proportional to 45,976 and 102,352

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Solution

The third proportional to 45,976 and 102,352 is: 227,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,976 : 102,352 = 102,352 : x
  2. Step 2: Convert to fraction form
    45,976/102,352 = 102,352/x
  3. Step 3: Cross multiply
    45,976x = 102,352 × 102,352
  4. Step 4: Simplify right side
    45,976x = 10,475,931,904
  5. Step 5: Solve for x
    x = 10,475,931,904/45,976
  6. Step 6: Final answer
    x = 227,856.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.