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Finding the Third Proportional to 55,496 and 82,916

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Solution

The third proportional to 55,496 and 82,916 is: 123,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496 : 82,916 = 82,916 : x
  2. Step 2: Convert to fraction form
    55,496/82,916 = 82,916/x
  3. Step 3: Cross multiply
    55,496x = 82,916 × 82,916
  4. Step 4: Simplify right side
    55,496x = 6,875,063,056
  5. Step 5: Solve for x
    x = 6,875,063,056/55,496
  6. Step 6: Final answer
    x = 123,883.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.