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Finding the Third Proportional to 75,616 and 111,336

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Solution

The third proportional to 75,616 and 111,336 is: 163,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616 : 111,336 = 111,336 : x
  2. Step 2: Convert to fraction form
    75,616/111,336 = 111,336/x
  3. Step 3: Cross multiply
    75,616x = 111,336 × 111,336
  4. Step 4: Simplify right side
    75,616x = 12,395,704,896
  5. Step 5: Solve for x
    x = 12,395,704,896/75,616
  6. Step 6: Final answer
    x = 163,929.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.