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Finding the Third Proportional to 48,780 and 105,804

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Solution

The third proportional to 48,780 and 105,804 is: 229,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780 : 105,804 = 105,804 : x
  2. Step 2: Convert to fraction form
    48,780/105,804 = 105,804/x
  3. Step 3: Cross multiply
    48,780x = 105,804 × 105,804
  4. Step 4: Simplify right side
    48,780x = 11,194,486,416
  5. Step 5: Solve for x
    x = 11,194,486,416/48,780
  6. Step 6: Final answer
    x = 229,489.27

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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.