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Finding the Third Proportional to 48,872 and 76,226

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Solution

The third proportional to 48,872 and 76,226 is: 118,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,872 : 76,226 = 76,226 : x
  2. Step 2: Convert to fraction form
    48,872/76,226 = 76,226/x
  3. Step 3: Cross multiply
    48,872x = 76,226 × 76,226
  4. Step 4: Simplify right side
    48,872x = 5,810,403,076
  5. Step 5: Solve for x
    x = 5,810,403,076/48,872
  6. Step 6: Final answer
    x = 118,890.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.