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Finding the Third Proportional to 49,890 and 76,275

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Solution

The third proportional to 49,890 and 76,275 is: 116,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,890 : 76,275 = 76,275 : x
  2. Step 2: Convert to fraction form
    49,890/76,275 = 76,275/x
  3. Step 3: Cross multiply
    49,890x = 76,275 × 76,275
  4. Step 4: Simplify right side
    49,890x = 5,817,875,625
  5. Step 5: Solve for x
    x = 5,817,875,625/49,890
  6. Step 6: Final answer
    x = 116,614.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.