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Finding the Third Proportional to 112,563 and 158,314.50

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Solution

The third proportional to 112,563 and 158,314.50 is: 222,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,563 : 158,314.50 = 158,314.50 : x
  2. Step 2: Convert to fraction form
    112,563/158,314.50 = 158,314.50/x
  3. Step 3: Cross multiply
    112,563x = 158,314.50 × 158,314.50
  4. Step 4: Simplify right side
    112,563x = 25,063,480,910.25
  5. Step 5: Solve for x
    x = 25,063,480,910.25/112,563
  6. Step 6: Final answer
    x = 222,661.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.