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Finding the Third Proportional to 112,125.50 and 178,303.25

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Solution

The third proportional to 112,125.50 and 178,303.25 is: 283,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,125.50 : 178,303.25 = 178,303.25 : x
  2. Step 2: Convert to fraction form
    112,125.50/178,303.25 = 178,303.25/x
  3. Step 3: Cross multiply
    112,125.50x = 178,303.25 × 178,303.25
  4. Step 4: Simplify right side
    112,125.50x = 31,792,048,960.56
  5. Step 5: Solve for x
    x = 31,792,048,960.56/112,125.50
  6. Step 6: Final answer
    x = 283,539.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.