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Finding the Third Proportional to 75,624 and 163,344

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Solution

The third proportional to 75,624 and 163,344 is: 352,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624 : 163,344 = 163,344 : x
  2. Step 2: Convert to fraction form
    75,624/163,344 = 163,344/x
  3. Step 3: Cross multiply
    75,624x = 163,344 × 163,344
  4. Step 4: Simplify right side
    75,624x = 26,681,262,336
  5. Step 5: Solve for x
    x = 26,681,262,336/75,624
  6. Step 6: Final answer
    x = 352,814.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.