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Finding the Third Proportional to 82,156 and 124,773

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Solution

The third proportional to 82,156 and 124,773 is: 189,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156 : 124,773 = 124,773 : x
  2. Step 2: Convert to fraction form
    82,156/124,773 = 124,773/x
  3. Step 3: Cross multiply
    82,156x = 124,773 × 124,773
  4. Step 4: Simplify right side
    82,156x = 15,568,301,529
  5. Step 5: Solve for x
    x = 15,568,301,529/82,156
  6. Step 6: Final answer
    x = 189,496.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.