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Finding the Third Proportional to 84,496 and 122,774

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Solution

The third proportional to 84,496 and 122,774 is: 178,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,496 : 122,774 = 122,774 : x
  2. Step 2: Convert to fraction form
    84,496/122,774 = 122,774/x
  3. Step 3: Cross multiply
    84,496x = 122,774 × 122,774
  4. Step 4: Simplify right side
    84,496x = 15,073,455,076
  5. Step 5: Solve for x
    x = 15,073,455,076/84,496
  6. Step 6: Final answer
    x = 178,392.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.