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Finding the Third Proportional to 105,135 and 160,771.50

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Solution

The third proportional to 105,135 and 160,771.50 is: 245,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,135 : 160,771.50 = 160,771.50 : x
  2. Step 2: Convert to fraction form
    105,135/160,771.50 = 160,771.50/x
  3. Step 3: Cross multiply
    105,135x = 160,771.50 × 160,771.50
  4. Step 4: Simplify right side
    105,135x = 25,847,475,212.25
  5. Step 5: Solve for x
    x = 25,847,475,212.25/105,135
  6. Step 6: Final answer
    x = 245,850.34

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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.