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Finding the Third Proportional to 48,880 and 93,872

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Solution

The third proportional to 48,880 and 93,872 is: 180,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,880 : 93,872 = 93,872 : x
  2. Step 2: Convert to fraction form
    48,880/93,872 = 93,872/x
  3. Step 3: Cross multiply
    48,880x = 93,872 × 93,872
  4. Step 4: Simplify right side
    48,880x = 8,811,952,384
  5. Step 5: Solve for x
    x = 8,811,952,384/48,880
  6. Step 6: Final answer
    x = 180,277.26

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.