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Finding the Third Proportional to 84,217 and 123,039

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Solution

The third proportional to 84,217 and 123,039 is: 179,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,217 : 123,039 = 123,039 : x
  2. Step 2: Convert to fraction form
    84,217/123,039 = 123,039/x
  3. Step 3: Cross multiply
    84,217x = 123,039 × 123,039
  4. Step 4: Simplify right side
    84,217x = 15,138,595,521
  5. Step 5: Solve for x
    x = 15,138,595,521/84,217
  6. Step 6: Final answer
    x = 179,757.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.