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Finding the Third Proportional to 55,781.63 and 83,794.31

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Solution

The third proportional to 55,781.63 and 83,794.31 is: 125,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781.63 : 83,794.31 = 83,794.31 : x
  2. Step 2: Convert to fraction form
    55,781.63/83,794.31 = 83,794.31/x
  3. Step 3: Cross multiply
    55,781.63x = 83,794.31 × 83,794.31
  4. Step 4: Simplify right side
    55,781.63x = 7,021,486,807.35
  5. Step 5: Solve for x
    x = 7,021,486,807.35/55,781.63
  6. Step 6: Final answer
    x = 125,874.55

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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.