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Finding the Third Proportional to 55,590 and 83,863

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Solution

The third proportional to 55,590 and 83,863 is: 126,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,590 : 83,863 = 83,863 : x
  2. Step 2: Convert to fraction form
    55,590/83,863 = 83,863/x
  3. Step 3: Cross multiply
    55,590x = 83,863 × 83,863
  4. Step 4: Simplify right side
    55,590x = 7,033,002,769
  5. Step 5: Solve for x
    x = 7,033,002,769/55,590
  6. Step 6: Final answer
    x = 126,515.61

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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.