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Finding the Third Proportional to 49,129.88 and 105,269.63

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Solution

The third proportional to 49,129.88 and 105,269.63 is: 225,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129.88 : 105,269.63 = 105,269.63 : x
  2. Step 2: Convert to fraction form
    49,129.88/105,269.63 = 105,269.63/x
  3. Step 3: Cross multiply
    49,129.88x = 105,269.63 × 105,269.63
  4. Step 4: Simplify right side
    49,129.88x = 11,081,693,947.64
  5. Step 5: Solve for x
    x = 11,081,693,947.64/49,129.88
  6. Step 6: Final answer
    x = 225,559.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.