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Finding the Third Proportional to 37,746 and 102,681

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Solution

The third proportional to 37,746 and 102,681 is: 279,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746 : 102,681 = 102,681 : x
  2. Step 2: Convert to fraction form
    37,746/102,681 = 102,681/x
  3. Step 3: Cross multiply
    37,746x = 102,681 × 102,681
  4. Step 4: Simplify right side
    37,746x = 10,543,387,761
  5. Step 5: Solve for x
    x = 10,543,387,761/37,746
  6. Step 6: Final answer
    x = 279,324.64

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.