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Finding the Third Proportional to 122,581 and 173,463

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Solution

The third proportional to 122,581 and 173,463 is: 245,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,581 : 173,463 = 173,463 : x
  2. Step 2: Convert to fraction form
    122,581/173,463 = 173,463/x
  3. Step 3: Cross multiply
    122,581x = 173,463 × 173,463
  4. Step 4: Simplify right side
    122,581x = 30,089,412,369
  5. Step 5: Solve for x
    x = 30,089,412,369/122,581
  6. Step 6: Final answer
    x = 245,465.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.