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Finding the Third Proportional to 49,230 and 74,250

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Solution

The third proportional to 49,230 and 74,250 is: 111,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,230 : 74,250 = 74,250 : x
  2. Step 2: Convert to fraction form
    49,230/74,250 = 74,250/x
  3. Step 3: Cross multiply
    49,230x = 74,250 × 74,250
  4. Step 4: Simplify right side
    49,230x = 5,513,062,500
  5. Step 5: Solve for x
    x = 5,513,062,500/49,230
  6. Step 6: Final answer
    x = 111,985.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.