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Finding the Third Proportional to 48,628 and 105,555.25

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Solution

The third proportional to 48,628 and 105,555.25 is: 229,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,628 : 105,555.25 = 105,555.25 : x
  2. Step 2: Convert to fraction form
    48,628/105,555.25 = 105,555.25/x
  3. Step 3: Cross multiply
    48,628x = 105,555.25 × 105,555.25
  4. Step 4: Simplify right side
    48,628x = 11,141,910,802.56
  5. Step 5: Solve for x
    x = 11,141,910,802.56/48,628
  6. Step 6: Final answer
    x = 229,125.42

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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.