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Finding the Third Proportional to 48,024 and 112,200

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Solution

The third proportional to 48,024 and 112,200 is: 262,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024 : 112,200 = 112,200 : x
  2. Step 2: Convert to fraction form
    48,024/112,200 = 112,200/x
  3. Step 3: Cross multiply
    48,024x = 112,200 × 112,200
  4. Step 4: Simplify right side
    48,024x = 12,588,840,000
  5. Step 5: Solve for x
    x = 12,588,840,000/48,024
  6. Step 6: Final answer
    x = 262,136.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.