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Finding the Third Proportional to 52,853 and 81,855

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Solution

The third proportional to 52,853 and 81,855 is: 126,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,853 : 81,855 = 81,855 : x
  2. Step 2: Convert to fraction form
    52,853/81,855 = 81,855/x
  3. Step 3: Cross multiply
    52,853x = 81,855 × 81,855
  4. Step 4: Simplify right side
    52,853x = 6,700,241,025
  5. Step 5: Solve for x
    x = 6,700,241,025/52,853
  6. Step 6: Final answer
    x = 126,771.25

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