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Finding the Third Proportional to 70,107.50 and 101,961.50

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Solution

The third proportional to 70,107.50 and 101,961.50 is: 148,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,107.50 : 101,961.50 = 101,961.50 : x
  2. Step 2: Convert to fraction form
    70,107.50/101,961.50 = 101,961.50/x
  3. Step 3: Cross multiply
    70,107.50x = 101,961.50 × 101,961.50
  4. Step 4: Simplify right side
    70,107.50x = 10,396,147,482.25
  5. Step 5: Solve for x
    x = 10,396,147,482.25/70,107.50
  6. Step 6: Final answer
    x = 148,288.66

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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.