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Finding the Third Proportional to 48,730 and 105,782

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Solution

The third proportional to 48,730 and 105,782 is: 229,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,730 : 105,782 = 105,782 : x
  2. Step 2: Convert to fraction form
    48,730/105,782 = 105,782/x
  3. Step 3: Cross multiply
    48,730x = 105,782 × 105,782
  4. Step 4: Simplify right side
    48,730x = 11,189,831,524
  5. Step 5: Solve for x
    x = 11,189,831,524/48,730
  6. Step 6: Final answer
    x = 229,629.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.