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Finding the Third Proportional to 48,050 and 105,149

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Solution

The third proportional to 48,050 and 105,149 is: 230,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,050 : 105,149 = 105,149 : x
  2. Step 2: Convert to fraction form
    48,050/105,149 = 105,149/x
  3. Step 3: Cross multiply
    48,050x = 105,149 × 105,149
  4. Step 4: Simplify right side
    48,050x = 11,056,312,201
  5. Step 5: Solve for x
    x = 11,056,312,201/48,050
  6. Step 6: Final answer
    x = 230,100.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.