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Finding the Third Proportional to 111,135 and 160,654.50

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Solution

The third proportional to 111,135 and 160,654.50 is: 232,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,135 : 160,654.50 = 160,654.50 : x
  2. Step 2: Convert to fraction form
    111,135/160,654.50 = 160,654.50/x
  3. Step 3: Cross multiply
    111,135x = 160,654.50 × 160,654.50
  4. Step 4: Simplify right side
    111,135x = 25,809,868,370.25
  5. Step 5: Solve for x
    x = 25,809,868,370.25/111,135
  6. Step 6: Final answer
    x = 232,238.88

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.