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Finding the Third Proportional to 48,423 and 106,350

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Solution

The third proportional to 48,423 and 106,350 is: 233,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,423 : 106,350 = 106,350 : x
  2. Step 2: Convert to fraction form
    48,423/106,350 = 106,350/x
  3. Step 3: Cross multiply
    48,423x = 106,350 × 106,350
  4. Step 4: Simplify right side
    48,423x = 11,310,322,500
  5. Step 5: Solve for x
    x = 11,310,322,500/48,423
  6. Step 6: Final answer
    x = 233,573.35

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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.