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Finding the Third Proportional to 48,752 and 100,960

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Solution

The third proportional to 48,752 and 100,960 is: 209,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,752 : 100,960 = 100,960 : x
  2. Step 2: Convert to fraction form
    48,752/100,960 = 100,960/x
  3. Step 3: Cross multiply
    48,752x = 100,960 × 100,960
  4. Step 4: Simplify right side
    48,752x = 10,192,921,600
  5. Step 5: Solve for x
    x = 10,192,921,600/48,752
  6. Step 6: Final answer
    x = 209,076.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.