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Finding the Third Proportional to 75,383 and 110,827

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Solution

The third proportional to 75,383 and 110,827 is: 162,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,383 : 110,827 = 110,827 : x
  2. Step 2: Convert to fraction form
    75,383/110,827 = 110,827/x
  3. Step 3: Cross multiply
    75,383x = 110,827 × 110,827
  4. Step 4: Simplify right side
    75,383x = 12,282,623,929
  5. Step 5: Solve for x
    x = 12,282,623,929/75,383
  6. Step 6: Final answer
    x = 162,936.26

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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.