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Finding the Third Proportional to 50,280 and 109,758

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Solution

The third proportional to 50,280 and 109,758 is: 239,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,280 : 109,758 = 109,758 : x
  2. Step 2: Convert to fraction form
    50,280/109,758 = 109,758/x
  3. Step 3: Cross multiply
    50,280x = 109,758 × 109,758
  4. Step 4: Simplify right side
    50,280x = 12,046,818,564
  5. Step 5: Solve for x
    x = 12,046,818,564/50,280
  6. Step 6: Final answer
    x = 239,594.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.