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Finding the Third Proportional to 49,264 and 96,340

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Solution

The third proportional to 49,264 and 96,340 is: 188,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,264 : 96,340 = 96,340 : x
  2. Step 2: Convert to fraction form
    49,264/96,340 = 96,340/x
  3. Step 3: Cross multiply
    49,264x = 96,340 × 96,340
  4. Step 4: Simplify right side
    49,264x = 9,281,395,600
  5. Step 5: Solve for x
    x = 9,281,395,600/49,264
  6. Step 6: Final answer
    x = 188,401.18

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.