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Finding the Third Proportional to 49,130 and 105,269.50

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Solution

The third proportional to 49,130 and 105,269.50 is: 225,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,130 : 105,269.50 = 105,269.50 : x
  2. Step 2: Convert to fraction form
    49,130/105,269.50 = 105,269.50/x
  3. Step 3: Cross multiply
    49,130x = 105,269.50 × 105,269.50
  4. Step 4: Simplify right side
    49,130x = 11,081,667,630.25
  5. Step 5: Solve for x
    x = 11,081,667,630.25/49,130
  6. Step 6: Final answer
    x = 225,558.06

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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.