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Finding the Third Proportional to 48,564 and 101,274

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Solution

The third proportional to 48,564 and 101,274 is: 211,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,564 : 101,274 = 101,274 : x
  2. Step 2: Convert to fraction form
    48,564/101,274 = 101,274/x
  3. Step 3: Cross multiply
    48,564x = 101,274 × 101,274
  4. Step 4: Simplify right side
    48,564x = 10,256,423,076
  5. Step 5: Solve for x
    x = 10,256,423,076/48,564
  6. Step 6: Final answer
    x = 211,193.95

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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.