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Finding the Third Proportional to 56,744 and 85,906

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Solution

The third proportional to 56,744 and 85,906 is: 130,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744 : 85,906 = 85,906 : x
  2. Step 2: Convert to fraction form
    56,744/85,906 = 85,906/x
  3. Step 3: Cross multiply
    56,744x = 85,906 × 85,906
  4. Step 4: Simplify right side
    56,744x = 7,379,840,836
  5. Step 5: Solve for x
    x = 7,379,840,836/56,744
  6. Step 6: Final answer
    x = 130,055.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.