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Finding the Third Proportional to 48,782 and 109,276

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Solution

The third proportional to 48,782 and 109,276 is: 244,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782 : 109,276 = 109,276 : x
  2. Step 2: Convert to fraction form
    48,782/109,276 = 109,276/x
  3. Step 3: Cross multiply
    48,782x = 109,276 × 109,276
  4. Step 4: Simplify right side
    48,782x = 11,941,244,176
  5. Step 5: Solve for x
    x = 11,941,244,176/48,782
  6. Step 6: Final answer
    x = 244,787.92

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.