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Finding the Third Proportional to 48,642 and 104,730

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Solution

The third proportional to 48,642 and 104,730 is: 225,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 104,730 = 104,730 : x
  2. Step 2: Convert to fraction form
    48,642/104,730 = 104,730/x
  3. Step 3: Cross multiply
    48,642x = 104,730 × 104,730
  4. Step 4: Simplify right side
    48,642x = 10,968,372,900
  5. Step 5: Solve for x
    x = 10,968,372,900/48,642
  6. Step 6: Final answer
    x = 225,491.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.