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Finding the Third Proportional to 59,355 and 85,025

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Solution

The third proportional to 59,355 and 85,025 is: 121,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,355 : 85,025 = 85,025 : x
  2. Step 2: Convert to fraction form
    59,355/85,025 = 85,025/x
  3. Step 3: Cross multiply
    59,355x = 85,025 × 85,025
  4. Step 4: Simplify right side
    59,355x = 7,229,250,625
  5. Step 5: Solve for x
    x = 7,229,250,625/59,355
  6. Step 6: Final answer
    x = 121,796.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.