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Finding the Third Proportional to 52,383 and 81,175.50

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Solution

The third proportional to 52,383 and 81,175.50 is: 125,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,383 : 81,175.50 = 81,175.50 : x
  2. Step 2: Convert to fraction form
    52,383/81,175.50 = 81,175.50/x
  3. Step 3: Cross multiply
    52,383x = 81,175.50 × 81,175.50
  4. Step 4: Simplify right side
    52,383x = 6,589,461,800.25
  5. Step 5: Solve for x
    x = 6,589,461,800.25/52,383
  6. Step 6: Final answer
    x = 125,793.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.