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Finding the Third Proportional to 105,792.75 and 162,040.50

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Solution

The third proportional to 105,792.75 and 162,040.50 is: 248,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792.75 : 162,040.50 = 162,040.50 : x
  2. Step 2: Convert to fraction form
    105,792.75/162,040.50 = 162,040.50/x
  3. Step 3: Cross multiply
    105,792.75x = 162,040.50 × 162,040.50
  4. Step 4: Simplify right side
    105,792.75x = 26,257,123,640.25
  5. Step 5: Solve for x
    x = 26,257,123,640.25/105,792.75
  6. Step 6: Final answer
    x = 248,193.98

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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.