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Finding the Third Proportional to 51,282 and 107,746

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Solution

The third proportional to 51,282 and 107,746 is: 226,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282 : 107,746 = 107,746 : x
  2. Step 2: Convert to fraction form
    51,282/107,746 = 107,746/x
  3. Step 3: Cross multiply
    51,282x = 107,746 × 107,746
  4. Step 4: Simplify right side
    51,282x = 11,609,200,516
  5. Step 5: Solve for x
    x = 11,609,200,516/51,282
  6. Step 6: Final answer
    x = 226,379.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.