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Finding the Third Proportional to 48,768 and 107,328

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Solution

The third proportional to 48,768 and 107,328 is: 236,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768 : 107,328 = 107,328 : x
  2. Step 2: Convert to fraction form
    48,768/107,328 = 107,328/x
  3. Step 3: Cross multiply
    48,768x = 107,328 × 107,328
  4. Step 4: Simplify right side
    48,768x = 11,519,299,584
  5. Step 5: Solve for x
    x = 11,519,299,584/48,768
  6. Step 6: Final answer
    x = 236,206.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.