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Finding the Third Proportional to 55,781 and 83,795

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Solution

The third proportional to 55,781 and 83,795 is: 125,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781 : 83,795 = 83,795 : x
  2. Step 2: Convert to fraction form
    55,781/83,795 = 83,795/x
  3. Step 3: Cross multiply
    55,781x = 83,795 × 83,795
  4. Step 4: Simplify right side
    55,781x = 7,021,602,025
  5. Step 5: Solve for x
    x = 7,021,602,025/55,781
  6. Step 6: Final answer
    x = 125,878.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.