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Finding the Third Proportional to 48,148 and 107,360

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Solution

The third proportional to 48,148 and 107,360 is: 239,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,148 : 107,360 = 107,360 : x
  2. Step 2: Convert to fraction form
    48,148/107,360 = 107,360/x
  3. Step 3: Cross multiply
    48,148x = 107,360 × 107,360
  4. Step 4: Simplify right side
    48,148x = 11,526,169,600
  5. Step 5: Solve for x
    x = 11,526,169,600/48,148
  6. Step 6: Final answer
    x = 239,390.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.