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Finding the Third Proportional to 75,752 and 159,336

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Solution

The third proportional to 75,752 and 159,336 is: 335,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,752 : 159,336 = 159,336 : x
  2. Step 2: Convert to fraction form
    75,752/159,336 = 159,336/x
  3. Step 3: Cross multiply
    75,752x = 159,336 × 159,336
  4. Step 4: Simplify right side
    75,752x = 25,387,960,896
  5. Step 5: Solve for x
    x = 25,387,960,896/75,752
  6. Step 6: Final answer
    x = 335,145.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.