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Finding the Third Proportional to 75,383 and 110,826

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Solution

The third proportional to 75,383 and 110,826 is: 162,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,383 : 110,826 = 110,826 : x
  2. Step 2: Convert to fraction form
    75,383/110,826 = 110,826/x
  3. Step 3: Cross multiply
    75,383x = 110,826 × 110,826
  4. Step 4: Simplify right side
    75,383x = 12,282,402,276
  5. Step 5: Solve for x
    x = 12,282,402,276/75,383
  6. Step 6: Final answer
    x = 162,933.32

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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.