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Finding the Third Proportional to 75,649 and 111,283

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Solution

The third proportional to 75,649 and 111,283 is: 163,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649 : 111,283 = 111,283 : x
  2. Step 2: Convert to fraction form
    75,649/111,283 = 111,283/x
  3. Step 3: Cross multiply
    75,649x = 111,283 × 111,283
  4. Step 4: Simplify right side
    75,649x = 12,383,906,089
  5. Step 5: Solve for x
    x = 12,383,906,089/75,649
  6. Step 6: Final answer
    x = 163,702.18

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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.