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Finding the Third Proportional to 112,135.50 and 171,486

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Solution

The third proportional to 112,135.50 and 171,486 is: 262,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,135.50 : 171,486 = 171,486 : x
  2. Step 2: Convert to fraction form
    112,135.50/171,486 = 171,486/x
  3. Step 3: Cross multiply
    112,135.50x = 171,486 × 171,486
  4. Step 4: Simplify right side
    112,135.50x = 29,407,448,196
  5. Step 5: Solve for x
    x = 29,407,448,196/112,135.50
  6. Step 6: Final answer
    x = 262,249.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.