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Finding the Third Proportional to 112,745.50 and 178,395

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Solution

The third proportional to 112,745.50 and 178,395 is: 282,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,745.50 : 178,395 = 178,395 : x
  2. Step 2: Convert to fraction form
    112,745.50/178,395 = 178,395/x
  3. Step 3: Cross multiply
    112,745.50x = 178,395 × 178,395
  4. Step 4: Simplify right side
    112,745.50x = 31,824,776,025
  5. Step 5: Solve for x
    x = 31,824,776,025/112,745.50
  6. Step 6: Final answer
    x = 282,270.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.