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Finding the Third Proportional to 49,281 and 76,460

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Solution

The third proportional to 49,281 and 76,460 is: 118,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,281 : 76,460 = 76,460 : x
  2. Step 2: Convert to fraction form
    49,281/76,460 = 76,460/x
  3. Step 3: Cross multiply
    49,281x = 76,460 × 76,460
  4. Step 4: Simplify right side
    49,281x = 5,846,131,600
  5. Step 5: Solve for x
    x = 5,846,131,600/49,281
  6. Step 6: Final answer
    x = 118,628.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.