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Finding the Third Proportional to 113,651 and 170,477

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Solution

The third proportional to 113,651 and 170,477 is: 255,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,651 : 170,477 = 170,477 : x
  2. Step 2: Convert to fraction form
    113,651/170,477 = 170,477/x
  3. Step 3: Cross multiply
    113,651x = 170,477 × 170,477
  4. Step 4: Simplify right side
    113,651x = 29,062,407,529
  5. Step 5: Solve for x
    x = 29,062,407,529/113,651
  6. Step 6: Final answer
    x = 255,716.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.