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Finding the Third Proportional to 89,273 and 122,413

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Solution

The third proportional to 89,273 and 122,413 is: 167,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,273 : 122,413 = 122,413 : x
  2. Step 2: Convert to fraction form
    89,273/122,413 = 122,413/x
  3. Step 3: Cross multiply
    89,273x = 122,413 × 122,413
  4. Step 4: Simplify right side
    89,273x = 14,984,942,569
  5. Step 5: Solve for x
    x = 14,984,942,569/89,273
  6. Step 6: Final answer
    x = 167,855.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.