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Finding the Third Proportional to 51,280 and 110,496

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Solution

The third proportional to 51,280 and 110,496 is: 238,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,280 : 110,496 = 110,496 : x
  2. Step 2: Convert to fraction form
    51,280/110,496 = 110,496/x
  3. Step 3: Cross multiply
    51,280x = 110,496 × 110,496
  4. Step 4: Simplify right side
    51,280x = 12,209,366,016
  5. Step 5: Solve for x
    x = 12,209,366,016/51,280
  6. Step 6: Final answer
    x = 238,092.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.