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Finding the Third Proportional to 56,504 and 83,028

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Solution

The third proportional to 56,504 and 83,028 is: 122,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504 : 83,028 = 83,028 : x
  2. Step 2: Convert to fraction form
    56,504/83,028 = 83,028/x
  3. Step 3: Cross multiply
    56,504x = 83,028 × 83,028
  4. Step 4: Simplify right side
    56,504x = 6,893,648,784
  5. Step 5: Solve for x
    x = 6,893,648,784/56,504
  6. Step 6: Final answer
    x = 122,002.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.