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Finding the Third Proportional to 48,416 and 107,200

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Solution

The third proportional to 48,416 and 107,200 is: 237,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 107,200 = 107,200 : x
  2. Step 2: Convert to fraction form
    48,416/107,200 = 107,200/x
  3. Step 3: Cross multiply
    48,416x = 107,200 × 107,200
  4. Step 4: Simplify right side
    48,416x = 11,491,840,000
  5. Step 5: Solve for x
    x = 11,491,840,000/48,416
  6. Step 6: Final answer
    x = 237,356.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.